joseg Web view(3x+4y)(3x-2y) 371. 3x2-7xy-6y2 (-9xy-6y. 2) + (3x. 2 +2xy)-3y(3x+2y)+x(3x+2y) R=...
Transcript of joseg Web view(3x+4y)(3x-2y) 371. 3x2-7xy-6y2 (-9xy-6y. 2) + (3x. 2 +2xy)-3y(3x+2y)+x(3x+2y) R=...
FACTORIZACION.
Máximo Factor Común
1. 4, 6, 10
R= 2
2. 4, 12, 20
R= 4
3. 12, 18, 14
R= 6
4. 16, 24, 40
R= 8
5. 15, 20, 25
R= 5
6. 14, 21, 28
R= 7
7. x3, x, x2
R= x
8. 2x2, 3x3, 4x
R= x
9. 6c2, 9x3, 12x
R= 3x
10. 3x3, 2x2, 5x4
R= x2
11. 15x3, 25x4, 30x2
R= 5x2
12. 12x2, 18x4, 30x
R= 6x
13. 4x2, 8x3y, 12xy2
R= 4x
14. 2xy2, 6x2y2, 8y2
R= 2y2
15. 12x2y, 18x2y2, 6x2
R= 6 x2
16. 36xy2, 48xy, 60xy3
R= 12xy
17. 54x2y2, 72x2y3z, 90x2y4z2
R= 9x2 y2
18. 28x3yz,42x2y2z2
R= 14x2 y2
19. 6(x+2), 9(x+2)
R= 3(x+2)
20. 3x(x-3), 6x2(x-3)
R= 3(x-3)
21. 9(x+1), 3(x+1)2
R= 3(x+1)
22. 4(x-1)2, 6(x-1)
R= 2(x-1)
23. x(x+2)2, x2(x+2)
R= x(x+2)
24. x2(x-2), 2x(x-2)2
R= x(x-2)
25. (x+3) 2, (x+3)(x+1)
R= (x+3)
26. (x+1) 2, (x+1)(x+2)
R= x+1
27. (x+4)(x-1), (x-2)(x+4)
R= x+4
28. (x-3)(x-2), (x-3)(x-1)
R= x-3
29. 4(x-3), 8(3-x)
R= 4(x-3)
30. x3(x-4), x2(4-x)
R=x2(x-4)
FACTORIZACION.
31. (x-2) 2 ,6(2-x)
R= x-2
32. (x-3) 2,(3-x)3
R= (x-3)2
factoricelos siguientes polinomios
33. 4x+4
R= 4(x+1)
34. 6x+12
R= 6(x+2)
35. 3x+9
R= 3(x+3)
36. 12x+6
R= 6(2x+1)
37. 3x-6
R= 3(x-2)
38. 4x-6
R= 2(2x-3)
39. 10x-5
R= 5(2x-1)
40. 18x-27
R= 3(6x-9)
41. 8-4x
R= 4(2-x)
42. 12-18x
R= 6(2-3x)
43. 5-15x
R= 5(1-3x)
44. 24-8x
R= 8(3-1x)
45. 4x2+4x
R= 4x(x+1)
46. 6x2 + 2x
R= 2x (3x+1)
47. 9x3 – 6x2
R= 3x2(3x-2)
48. 7x4 - 14 x3
R= 7x3(x-2)
49. 11x4 - 11x5x
R= 11x4(1-x)
50. 2xy-2x
R= 2x(y-1)
51. 3bx+3b
R= 3b(x+1)
52. 9ax+18a
R= 9a(x+2)
53. xy+x2y2
R= xy(1+xy)
54. 3ax+6ay
R= 3a(x+2y)
55. 4xy-8x²y
R= 4xy(1+2x)
56. 10ax²+15ax
R= 5ax(2x-3)
57. 18x²y-24xy²
R= 3xy(6x-8y)
58. x3-x2y
R= x2(x-y)
59. 4x2y2+12x2y
R= 4xy (xy+3x)
60. 16x3y2+24x4y
R= 4 x3 y(4y+8x)
61. 18x3y2-9x2y2
FACTORIZACION.
R= 9x2y2(2x-1)
62. 4x2y2-8xy3
R= 4xy2(x-2y)
63. 9x2y3+27x3y2
R= 9x^2y^2(y+3x)
64. 8x2y3-12x4y4
R= 4x^2 y^3(2y-3x^2y)
65. 8x2-4x+16
R= 4(2x^2-x+4)
66. 9x2+6x+3
R= 3(3^2+2x+1)
67. 6x2-6xy-6x
R= 6 (x^2-xy-x)
68. 6x3+9x2+15x
R= 3x (2^2+3x+5)
69. 4x4-8x3+12x2
R= 4x^2(x^2-2x+3)
70. x2y2-xy2+3y2
R= xy (xy-y+3y)
71. 2x3y+x2y-15xy
R= x(2x^2+x-15y)
72. 6x2y-4xy2+10xy
R= 2xy(3x-2y+5)
109. x2-16
R= (x-4) (x+4)
110. x2-36
R= (x-6) (x+6)
111. x2-49
R= (x-7) (x+7)
112. x2-64
R= (x-8) (x+8)
113. x2-100
R= (x-10) (x+10)
114. x2-144
R= (x-12) (x+12)
115. x2+25
R= sin solución.
116. x2+81
R= Sin solución.
117. 4-x2
R= (x-2) (x+2)
118. 25-x2
R= (x-5) (x+5)
119. 81-x2
R= (x-9) (x+9)
120. 121-x2
R= (x-11) (x+11)
121. 9x2-21
R= (3x-7) (3x+7)
122. 36x2-1
R= (6 x-1) (6 x+1)
123. 64x2-1
R= (8 x-1) (8 x+1)
124. 81x2-1
R= (9 x-1) (9 x+1)
125. 4x2-9
R= (2 x-3) (2 x+3)
126. 4x2-49
R= (2 x-7) (2 x+7)
127. 4x2-81
FACTORIZACION.
R= (2 x-9) (2 x+9)
128. 9x2-16
R= (3 x-4) (3 x+4)
129. 9x2-25
R= (3 x-5) (3 x+5)
130. 9x2-100
R= (3 x-10) (3 x+10)
131. 16x2-9
R= (4 x-3) (4 x+3)
132. 16x2-49
R= (4 x-7) (4 x+7)
133. 16x2-81
R= (4 x-9) (4 x+9)
134. 4-25x2
R= (5 x-2) (5 x+2)
135. 4-49x2
R= (7 x-2) (7 x+2)
136. 9-25x2
R= (5 x-3) (5 x+3)
137. 49-21x2
R= (3x-7) (3x+7)
138. x2-9y2
R= (x-3 y) (x+3 y)
139. 4x2-y2
R= (2 x-y) (2 x+y)
140. 9x2-16y2
R= (3 x-4 y) (3 x+4 y)
141. 9x2-25y2
R= (3 x-5 y) (3 x+5 y)
142. x2-81y2
R= (x-9 y) (x+9 y)
143. 9x2-4y4
R= (3 x-2 y2) (3 x+2 y2)
144. x4-64
R= (x2-8) (x^2+8)
145. 16x4-y2
R= (4x2+y) (4x2-y)
146. 4x4-9b2 c2
R= (2x2-3bc) (2x2-3bc)
147. a6-b4
R= (a3+b2) (a3-b2)
148. 2x2-18= 2(x2-9)
R= 2(x+3) (x-3)
149. 8x2-18 = 2(4x2-9)
R= 2(2x-3) (2x+3)
150. 3x2-12 = 3(x2-4)
R= 3(x-2) (x+2)
151. 4x2-16 = 4(x2-4)
R= 4(x-2) (x+2)
152. 9x2-81 = 9(x2-9)
R= 9(x-3) (x+3)
153. 6x2+24 = 6(x2+4)
R= 6(x-2) (x+2)
154. X3-x = x(x2-1)
R= x(x-1) (x+1)
155. x2y-4y = y(x2-4)
R= y(x-2) (x+2)
156. 3ax2-27a3 = 3a(x2-9a2)
R= 3a(x-3a) (x+3a)
157. 8x3+72xy2 = 8x(x2+9y2)
R= 8x(x+3y)(x-3y)
158. 28b2c3-63b4 c = 7b2c (4c2-9b2)
FACTORIZACION.
R= 7b2c (2c+3b) (2c-3b)
159. 9x2y2-y4 = y2 (9x2-y2)
R= y2 (3x-y) (3x+y)
160. 16x2-x4 = x2 (16-x2)
R= x2 (4+x) (4-x)
161. 6x3-24x = 6 (x2-4)
R= 6 (x+2) (x-2)
162. 20x2y-45y3 = 5y (4x2-9y2)
R= 5y (2x-3y) (2x+3y)
163. 12x2y2-75a2 = 3 (4x2 y2 -25a2)
R= 3 (2xy+5a) (2xy-5a)
164. 144x2y4-81a4 b2 = 9 (16x2 y4 -9a4 b2)
R= 9 (4xy2+a2b) (4xy2-a2b)
165. 36a8b12-9c10 = 9 (4a8 b12 – c10)
R= 9 (2a4 b6 – c5) (4a4 b6 + c5)
166. x4-1
R= (x2-1) (x2+1)
167. x4-16
R= (x2-4) (x2+4)
168. x4-61
R= x4-61
169. x4-y4
R= (x2-y2) (x2+y2)
170. 16x4-y4
R= (4x2-y2) (4x2+y2)
171. 81x4-y4
R= (9x2-y2) (9x2+y2)
172. 16x4-81y4
R= (4x2-9y2) (4x2+9y2)
173. 2x4-32y8 = 2 (x4-16y4)
R= 2 (x2+4y2) (x2-4y2)
174. 80x5-5x = 5x (16x4-1)
R= 5x (4x2+1) (4x2-1)
175. 3x4-48y4 = 3 (x4-16y4)
R= 3 (x2+4y2) (x2-4y2)
176. x7-x3 = x (x6-x2)
R= x (x3+x) (x3-x)
177. 4x6-64x2 = 4x2 (x4-16)
R= 4x2 (x2+4) (x2-4)
178. (X+1)2-y2 =
R= (x+1-y) (x+1+y)
179. (X+3)2-4y2
R= (x+3-4y) (x+3+4y)
180. (X-2)2-9y2
R= (x-2-3y) (x-2+3y)
181. (x-2)2-9y2
R= (4y-1+x) (-1-4y+x)
182. x2-(y+1)2
R= -y^2-2y-1+x^2
183. 4x2-(y+3)2
R= y^2-6y+4x^2-9
184. 9x2-(y+4)2
R=-y^2-8y+9x^2-16
185. 16x2-(y+5)2
R= -y^2-10y+16x^2-25
186. x2-(y-1)2
R= 2y-y^2-1+x^2
187. x2-(y-2)2
R= 4y-y^2-4+x^2
FACTORIZACION.
188. 4x2-(3y-1)2
R= 6y-9y^2+4x^2-1
189. 9x2-(2y-1)2
R= 4y-4y^2+9x^2-1
190. 4x2-9(y+4)2
R= (2x+3 (y+4))
191. x4-x2(y+1)2
R= x^2 (1+x+y) (-1+x-y)
192. 3x2-27(y-4)2
R= 3 (3y-4)+x) (-3 (y-4)+x)
193. 2x2-32(2y+1)2
R= 2 (4 (2y+1)+x)
194. 8x2-18(3y-2)2
R= 2 (2x+3 (3y-2)) (2x-3 (3y-2))
195. x2y2-y2(y-4)2
R= y^2 (8y-y^2-16+x^2)
196. (x-2)2-(y+1)2
R= x^2-4x+3-2y-y^2
197. (x+3)2-(2y+1)2
R= x^2+6x+8-4y^2-4y
198. (x-1)2-(y-3)2
R= x^2-2x+6y-8-y^2
199. (2x-1)2-(y-2)2
R= 4x^2-4x+4y-3-y^2
200. (x-3)3+y2(3-x)
R= (x-3)(-3+x+y)(-3+x-y)
201. (3x-1)3+y2(1-3x)
R= (3x-1)(3x-1+y)(3x-1-y)
202. x2-1/4
R= (x-1/2) (x+1/2)
203. x2-1/9
R= (x-1/3) (x+1/3)
204. x2-4/9
R= (x-2/3) (x+2/3)
205. x2-4/25
R= (x-2/5) (x+2/5)
206. x2-4/81
R= (x-2/9) (x+2/9)
207. x2-16/49
R= (x+4/7) (x+4/7)
208. 4x2-1/16
R= (2x-1/4) (2x+1/4)
209. 9x2-1/25
R= (3x+1/5) (3x-1/5)
210. 25x2-9/16
R= (5x+3/4) (5x-3/4)
211. x2-2xy+y2
R= (x-y)^2
212. m2+2mn+n2
R= (m+n)^2
213. x2-2x+1
R= (x-1)^2
214. y4+1+2y2
R= (y^2+1)^2
FACTORIZACION.
215. a2-10a +25
R= (a-5)^2
216. 9-6x+x2
R= (x-3)^2
217. 16+40x2+25x4
R= (5x^2+4)^2
218. 1+49a2-14a
R = 84a+1
219. 36+12m2+m4
R= (m^2+6)^2
220. 1-2b3+b6
R= (b-1)^2 (b^2+b+1)^2
221. x8+18x4+81
R= (x^4+9)^2
222. x6 –2x3y3+y6
R= x6 –2x3y3+y6
223. 4x2-12xy+9y2
R= (2x-3y)^2
224. 9b2-30a2b +25a4
R= (3b-5a 2)2
225. 1+14x2y+49x4y2
R= (1+7x2y)2
226. 1+a10-2a5
R= (a-1)^2 (a^4+a^3+a^2+a+1)^2
227. 49m6-70am3n2+25a2n4
R= (7-5m3n2)2
228. 100x10-60a4x5y6+9a8y12
R= (10x5 -3a 4y6)2
229. 121+198x6+81x12
R= (11+9x6)2
230. a2-24am2x2+144m4x4
R= (a-12m2x2)2
231. 16-104x2+169x4
R= (4-13x2)2
232. 400x10+40x5+1
R= (20x5+1)
233. a2/4 –ab+b2
R= a-ab+b^2
234. 1+ (2/3)b+ b2/9
R= (1+b/3)2
235. a4-a2b2+b4/4
R= (a2-b2/2)2
236. 1/25 + (25/36)x4 –x2/3
R= (1/5+x/3)2
237. 16x6-2x3y2+y4/16
R= (4x3-y2/4)2
238. n2/9+2mn+9m2
R= (n/3+3m)2
239. a2+2ª(a+b)+(a+b)2
R= (a+(a+b))2
240. 4 –4(1-a)+(1-a)2
R= (2-(1-a))2
241. x2+3x+2
FACTORIZACION.
R= (x+1) (x+2)
242. x2+4x+4
R= (x+2)2
243. x2+7x+12
R= (x+3) (x+4)
244. x2+9x+20
R= (x+4)(x+5)
245. x2+11x+30
R= (x+5) (x+6)
246. x2-2x+1
R= (x-1)(x-1)
247. x2-5x+6
R= (x-2)(x-3)
248. x2-8x+15
R= (x-3) (x-5)
249. x2-9x+20
R= ( x-4) (x-5)
250. x2-12x+35
R= (x-5) (x-7)
251. x2+2x-3
R= (x+3)(x-1)
252. x2+6x-16
R= (x+8)(x-2)
253. x2+4x-21
R= x2+4 x−2
254. x2+5x-36
R= (x+9)(x-4)
255. x2+2x-35
R= (x+7)(x-5)
256. x2-x-2
R= (x+1)(x-2)
257. x2-2x-8
R= (x+2)(x-4)
258. x2-3x-18
R= (x+3)(x-6)
259. x2-2x-24
R= (x+4)(x-6)
260. x2-3x-40
R= (x+5)(x-8)
261. x2-x-3
R= x2−x−3
262. x2+x+4
R= x2+ x+4
263. x2+6x+8
R= (x+4)(x+2)
264. x2+11x+24
R= (x+8)(x+3)
265. x2-8x+12
R= (x-2)(x-6)
266. x2-15x+36
R= (x-3)(x-12)
267. x2+4x-12
R= (x+6)(x-2)
268. x2+10x-39
R= (x+13)(x-3)
269. x2-8x-20
R= (x+2)(x-10)
270. x2-9x-36
R= (x+3)(x-12)
271. x2-3x+8
R= x2−3 x+8
272. x2+60+17x
FACTORIZACION.
R= (x-5)(x-12)
273. x2+30+13x
R= (x+10)(x+3)
274. x2+40-13x
R= (x-5)(x-8)
275. x2+32-18x
R= (x-2)(x-16)
276. x2-60+7x
R= (x+12)(x-5)
277. x2-18+7x
R= (x+9)(x-2)
278. x2-35-2
R= (x+5)(x-7)
279. x2-18-7x
R= (x+2)(x-9)
280. x2+13x+42
R= (x+7)(x+6)
281. x2-11x+30
R= (x-5)(x-6)
282. x2+6x-40
R= (x+10)(x-4)
283. x2-5x-24
R= (x+3)(x-8)
284. x2+12xy+27y2
R= (x+5 y)2
285. x2+14xy+48y2
R= (y+6x)(y+8x)
286. x2-9xy+14y2
R= (x-7x)(x-2x)
287. x2-11xy+28y2
R= (y-7x)(y-4x)
288. x2+9xy-36y2
R= (y-3x)(y+12x)
289. x2+xy-56y2
R= (x-7y)(x+8y)
290. x2-7xy-30y2
R= (x-10y)(x+3y)
291. x2-2xy-63y2
R= (x-9y)(x+7y)
292. 4x2+24x+36
R= (x+3)2
293. 2x2-18x+16
R= (x-8)(x-1)
294. 5x2+5x-10
R= (x-1)(x+2)
295. 9x2-36x-45
R= (x-5)(x+1)
296. ax2+5ax+6a
R= (x+2)(x+3)
297. x3-12x2+20x
R= (x-10)(x-2)
298. x4+2x3-8x2
R= (x-2)(x+4)
299. 3x3-3x2-18x
R= (x-3)(x+2)
300. x2y2+16xy+60
R= (yx+6)(yx+10)
301. x2y2-12xy+36
R= (yx-6)2
302. x2y2+3xy-54
R= (yx-6)(yx+9)
303. x2y2-11xy-42
FACTORIZACION.
R= (yx-14)(yx+3)
304. x4+5x2+6
R= (x2+2)(x2+3)
305. x4-3x2-10
R= (x2-5)(x2+2)
306. x4+3x2-4
R= (x-1)(x+1)(x2+4)
307. x4+x2-20
R= (x-2)(x+2)(x2+5)
308. x4-4x2+3
R= (x-1)(x+1)(x2-3)
309. x4-6x2+8
R= (x-2)(x+2)(x2-2)
310. x4-5x2+4
R= (x-2)(x+2)(x-1)(x+1)
311. x4-37x2+36
R= (x-6)(x+6)(x-1)(x+1)
312. x4-20x2+64
R= (x-4)(x+4)(x-2)(x+2)
313. x4-2x2+1
R= (x-1)2(x+1)2
314. x4-18x2+81
R= (x-3)2(x+3)2
315. (x+y)2+3(x+y)+2
R= (x+y+2)(x+y+1)
316. (x+3y)2-9(x+3y)+18
R= x2+6xy+9y2-9x-27+18
317. (x+y)2+(x+y)-2
R= x2+2xy+y2+x+y-2
318. (x+2y)2+(x+2y)-6
R= x2+2xy+y2+x+2y-6
319. (2x-y)2-(2x-y)-20
R= 4x2-4xy-y2-2x+y-20
320. (3x-y)2-4(3x-y)-32
R= 9x2-6xy+y2-12x+4y-32
321. 2x2+3x+1
R= (2x+1)(x+1)
322. 3x2+7x+2
R= (3x+1)(x+2)
323. 2x2+7x+6
R= (2x+3)(x+2)
324. 3x2+14x+18
R= No es factorizable
325. 4X2 + 4X + 1
R= (2x+1)²
326. 2x2 + 5x + 2
R= (2X + 1) (X + 2)
327. 3x2-4x+1
R= (3X - 1) (X - 1)
328. 2x2-9x+9
R= (2X - 3) (X - 3)
329. 3x2-11x+6
R= (3X - 2) (X - 3)
330. 4x2-8x+3
R= (2X - 3) (2X - 1)
331. 2x2+5x-3
R= (3X - 1) (X - 1)
332. 2x2+15x-8
R= (2X - 3) (X - 3)
333. 2x2+x-6
R= (3X - 1) (X - 1)
334. 3x2+7x-6
FACTORIZACION.
R= (2X - 3) (X - 3)
335. 4x2+9x-9
R= (3X - 1) (X - 1)
336. 2x2-3x-2
R= (2X - 3) (X - 3)
337. 2x2-13x-7
R= (3X - 1) (X - 1)
338. 3x2-17x-6
R= (2X - 3) (X - 3)
339. 2x2-9x-18
R= (3X - 1) (X - 1)
340. 3x2-13x-10
R= (2X - 3) (X - 3)
341. 2x2-3x+5
R= (3X - 1) (X - 1)
342. 3x2+7x-4
R= (2X - 3) (X - 3)
343. 2x2+11x+12
R= (3X - 1) (X - 1)
344. 2x2-13x+15
R= (2X - 3) (X - 3)
345. 2x2 + x - 3
R= (3X - 1) (X - 1)
346. 4x2 - 17x - 15
R= (2X - 3) (X - 3)
347. 3x2 + 12 + 20x
R= (3X - 1) (X - 1)
348. 4x2 + 6 - 11x
R= (2X - 3) (X - 3)
349. 6x2 – 3 + 7x
R= (3X - 1) (X - 1)
350. 6x2 – 4 - 5x
R= (2X - 3) (X - 3)
351. 4x2 + 27x + 18
R= (3X - 1) (X - 1)
352. 4x2 - 20x + 9
R= (2X - 3) (X - 3)
353. 6x2 + 23x - 18
R= (3X - 1) (X - 1)
354. 6x2 - 7x – 3
R= (2X - 3) (X - 3)
355. 4x2 + 8x + 5
R= (3X - 1) (X - 1)
356. 9x2 - 6x + 8
R= (2X - 3) (X - 3)
357. 6x2 + 17x + 12
R= (3X - 1) (X - 1)
358. 6x2 - 13x + 6
R= (2X - 3) (X - 3)
359. 6x2 + 19x - 36
R= (3X - 1) (X - 1)
360. 6x2 - 7x - 20
R= (2X - 3) (X - 3)
361. 6x2y2+23xy+20
R= (3xy+4)(2xy+5)
362. 12x2y2-11xy+2
R= (4xy-1)(3xy-2)
363. 12x2y2+xy+6
R= xy(12xy+1)+6
364. 12x2y2-7xy-12
R= (4xy+3)(3xy-4)
365. 4x2+8xy-3y2
FACTORIZACION.
R= 4(x+y) 2-7y2
366. 6x2+13xy+6y2
(9xy+6y2) + (6x2+4xy)
3y(3x+2y) + 2x(3x+2y)
R= (2x+3y) (3x+2y)
367. 6x2-11xy+3y2
(-9xy+3y2) + (6x2-2xy)
-3y(3x-y) + 2x(3x-y)
R= (3x-4y)(4x-3y)
368. 12x2-25xy+12y2
(-16xy+12y2) + (12x2-9xy)
-4y(4x-3y) +3x(4x-3y)
R= (3x-4y)(4x-3y)
369. 6x2+5xy-4y2
(8xy-4y2) + (6x^2 – 3xy)
4y(2x-y) +3x(2x-y)
R= (2x-y)(3x+4y)
370. 9x2+6xy-8y2
(12xy-8y2) + (9x2-6xy)
4y (3x-2y) + 3x (3x-2y)
R= (3x+4y)(3x-2y)
371. 3x2-7xy-6y2
(-9xy-6y2) + (3x2+2xy)
-3y(3x+2y)+x(3x+2y)
R= (x-3y)(3x+2y)
372. 4x2-8xy-5y2
(-10xy-5y2) + 2x(2x+y)
-5(2x+y)+2x(2x+y)
R= (2x+y)(2x-5y)
373. 9x2+39x+2
R= x(9x+39)+2
374. 10x2-45x+20
5 (2x2-9x+4)
R= 5 (x-4)(2x-1)
375. 6x2+27x-15
3 (2x2+9x-5)
R= 3 (x+5)(2x-1)
376. 2x3-5x2-3x
x (2x2-5x-3)
R= X (x-3) (2x+1)
377. 2x2y+5xy+3y
y (2x2+5x+3)
R= Y (x+1)(2x+3)
378. 2x4-7x^3+6x²
x2 (2x2-7x+6)
R= x2 (x-2)(2x-3)
379. 2x2y2+3xy2-9y2
y2 (2x2+3x-9)
R= Y2 (x+3) (2x-3)
380. 4x3-2x2-12x
2x (2x2-x-6)
R= 2x (x-2) (2x+3)
381. 4-4x-3x2
- (3x2+4-4)
R= -(x+2) (3x-2)
382. 3-2x-8x2
-(8x2+2x-3)
R= -(4x+3) (2x-1)
383. 15-7x-2x2
-(2x2+7x-15)
R= -(x+5) (2x-3)
FACTORIZACION.
384. 2+x-3x2
- (3x2+x+2)
R= -(x-1) (3x+2)
385. 4+11x-3x2
- (3x2-11x+4)
R= -(x-4) (3x+1)
386. 12+x+6x2
- (6x2-x-12)
R= - (2x-3) (3x+4)
387. 2x2+7x2+3
R= (x2+3) (2x2+1)
388. 6x4+23x2-4
(x2+4) (6x2-1)
(x2+4) (√6x+1) (√6x-1)
389. 4x4-11x2+6
(x2) (4x2-3)
R= (4x2-3) (x+√2) (x-√2)
390. 4x4+12x2-4
R= 4(x4+3x2-1)
391. 2x4-x2-1
(x2-1) (2x2+1)
R= (x+1) (x-1) (2x2+1)
392. 8x4-6x2-27
4x2-9)(2x2+3)
R= (2x+3) (2x-3) (2x2+3)
393. 18x4-29x2+3
(2x2-3)(9x2-1)
(9x2-1)(√2+√3)(√2x-√3)
R= (3x+1)(3x-1)(√2x+√3)(√2x-√3)
394. 36x413x2+1
(4x^2-1)(9x^2-1)
(2x+1)(2x-1)(9x^2-1)
R= (2x+1) (2x-1) (3x+1) (3x-1)
395. 4x4-45x2+81
(x29) (4x2-9)
(2x+3) (2x-3) (x2-9)
R= (x+3) (x-3) (2x+3) (2x-3)
396. 9x4-13x2+4
(x2-1) (9x2-4)
R= (x+1) (x-1) (3x+2) (3x-2)
397. 16x4-8x2+1
R= (2x + 1)2(2x - 1)2
398. 81x4-18x2+1
R= (3x + 1) 2(3x - 1)2
399. 3(x+y)2+10(x+y)+3
(x + y + 3) (3x + 3y + 1)
400. 6(2x-y)2-25(2x-y)+4
(-12x + 6y + 1) (-2x + y + 4)
401. 2(x+y)2-3(x+y)+1
(x + y - 1) (2x + 2y - 1)
402. 3(x-y)2+(x-y)-2
(-3x + 3y + 2) (-x + y - 1)
403. 36(x-y)2+5(x-y)-24
(-9x + 9y - 8) (-4x + 4y + 3)
404. 6(x-2y)2-11(x-2y)-2
(-6x + 12y - 1) (-x + 2y + 2)
405. 12(x-3y)2-5(x-3y)-3
R= (4x - 12y - 3)(3x - 9y + 1)
406. 12(3x+y)2-7(3x+y)-12
R= (12x + 4y + 3)(9x + 3y - 4)
407. x3+1
R= (x² - x + 1)(x + 1)
408. x3+8
R= (x² - 2x + 4) (x + 2)
409. x3+27
FACTORIZACION.
R= (x² - 3x + 9) (x + 3)
410. x3+64
R= (x² - 4x + 16) (x + 4)
411. x3+216
R= (x² - 6x + 36) (x + 6)
412. x3-1
R= (x²+ x + 1) (x - 1)
413. x3-8y3
R= (x²+ 2xy + 4y²) (x - 2y)
414. 27-x3
R= -(x² + 3x + 9)(x - 3)
415. x3-125
R= (x²+ 5x + 25)(x - 5)
416. 64x3-y3
R= (16x²+ 4xy + y²) (4x – y)
417. 8x3-27y3
R= (4x² + 6xy + 9y²) (2x - 3y)
418. x4+8x
R= (x²- 2x + 4) (x + 2)x
419. x3y+y4
R= (x²- xy + y²)(x + y)y
420. 4x3+32y3
R= 4(x²- 2xy + 4y²)(x + 2y)
421. 54x4+2xy3
R= 2(9x²- 3xy + y²)(3x + y)x
422. 16-2x3
R= -2(x² + 2x + 4)(x - 2)
423. x4y2-xy5
R= (x²+ xy + y²)*(x - y)xy²
424. 250x3-2
R= 2(25x² + 5*x + 1)(5x - 1)
425. 7x3-56y3
R= 7(x² + 2xy + 4y²)(x - 2y)
426. 4x3-32
R= 4(x² + 2x + 4)(x - 2)
427. x6+y3
R= (x4 - x²y + y²)(x² + y)
428. 16x3+54y3
R= 2(4x²- 6xy + 9y²)(2x + 3y)
429. 40x5+5x2
R= 5(4x²- 2*x + 1)(2x + 1)x²
430. 81x3+24y3
R= 3(9x² - 6xy + 4y²)(3x + 2y)
431. 2x6+16y3
R= 2(x4 - 2x2y + 4y²)(x²+ 2y)
432. 3x3y6+81
R= 3(x²y4 - 3xy² + 9)(xy² + 3)
433. 54x4-2x
R= 2x (27x3 – 1) (9x2 + 3x + 1)
434. 54x3-16
R= 2(3x-2)(9x2 + 6x + 4)
435. x6-x3
R= x3 (x - 1)(x2 + x + 1)
436. x6-8y6
R= (x2 - 2y2)(x4 + 2x2y2 + 4y4)
437. x6-27y6
R= (x2 - 3y2)(x4 + 3x2y2 + 9y4)
438. x6-1
R= (x2 - 1)(x4 + x2+ 1)
439. 64-x6
R= (4 - x2)(16 + 4x2+ x4)
440. x6+1
R= (x2 + 1)( (x4 - x2 + 1)
441. 64x6+1
R= (4x2 + 1)(16 x4 - 4x2 + 1)
442. x8+x2y6
FACTORIZACION.
R= x2(x6 + y6) = x2(x2 + y2) (x4 - x2 y2 + y4)
443. x3+(y+2)3
R= (x + y + 2) (x2 – xy – 2x + y2 + 4)
444. x3+(y-3)3
R= (x + y - 3) (x2 – xy – 3x + y2 + 9)
445. 8x3-(2y+1)3
R= (2x - 2y + 1) (4x2 + 4xy + 2x + 4y2 + 1)
446. x3-(y-2)3
R= (x - y - 2) (x2 + xy + 2x + y2 + 4
447. (x+2)3+y3
R= (x + 2 + y) (x2 + 4 – xy - 2y + y2)
448. (x-1)3+8y3
R= (x - 1 + 2y) (x2 + 1 – 2xy - 2y + 4y2)
449. (x+3)3-27y3
R= (x + 3 - 3y) (x2 + 9 + 3xy + 9y + 9y2)
450. (x-2)3-8y3
R= (x - 2 - 2y) (x2 + 4 + 2xy + 4y + 4y2)
451. (a+b)3+(c-d)3
R= (a + b + c - d) (a2 + b2 – ac – ad – bc – bd
+ c2 + d2)
452. (x+y)3-(a-b)3
R= (x + y - a - b) (x2 + y2 – ax – bx – ay – by +
a2 + b2)
453. a3+3a2+3ª+1
R= (a +1 )3
454. 27-27x+9x
2-x
3
R= (3 - x)3
455. m3+3m2n+3mn2+n3
R= (m + n)3
456. 1+3a2-3a-a3
R= (1 - a)3
457. 8+12a2+6a4+a6
R= (a2 + 2)3
458. 125x3+1+75x2+15x
R= (5x + 1)3
459. 8a3-36a2b+54ab2-27b3
R= (2a – 3b)3
460. 27m3+108m2n+144mn2+64n3
R= (3m + 4n)3
461. x3-3x2+3x-1
R= (x – 1)3
462. 1+12a2b2-6ab-8a3b3
R= (1 + 2ab)3
463. 125a3+150a2b+60ab2+8b3
R= = (5a + 2b)3
464. 8+36x+54x2+27x3
R= (2 + 3x)3
465. 8-12a2-6a4-a6
FACTORIZACION.
R= (2 – a2)3
466. a6+3a4b3+3a2b6+b9
R= (a2 – b3)3
467. x9-9x6y4+27x3y8-27y12
R= (x3 - 3y4)3
468. 64x3+240x2y+300xy2+125y3
R= (4x + 5y)3
469. 216-756a2+882a4-343a6
R= (6-7a2)3
470. 125x12+600x8y5+960x4y10+512y15
R= (5x4+8a5)3
471. 3a12+1+3a6+a18
R= (1+a6)3
472. m3-3am2n+3a2mn2-a3n3
R= (m-an)3
473. a2+ab+ax+bx
R= (a+b) (a+x)
474. am-bm+an-bn
R= (a-b) (m+n)
475. ax-2bx-2ay+4by
R= (a-2b) (x-y)
476. a2x2-3bx2+a2y2-3by2
R= (a2-3b) (x2+y2)
477. 3m-2n-2nx4+3mx4
R= (3m-2n) (1+x4)
478. x2-a2+x-a2x
R= (x-a2) (1+x)
479. 4a8-1-a2+4ª
R= (2x-a2) (1+x)
480. x+x2-xy2-y2
R= (1+x) (x-y2)
481. 3abx2-2y2-2x2+3aby2
R= (3ab-2) (x2+y2)
482. 3a-b2+2b2x-6ax
R= (1-2x) (3a-b2)
483. 4a3x-4a2b+3bm-3amx
R= (ax-b) (4a2-3m)
484. 6ax+3a+1+2x
R= (1+2x) (3a+1)
485. 3x3-9ax2-x+3ª
R= (x-3a) (3x-1)
486. 2a2x-5a2y+15by-6bx
R= (2x-5y) (a2-3b)
487. 2x2y+2xz2+y2z2+xy3
R= (xy+z2) (2x+y2)
488. 6m-9n+21nx-14mx
R= (2m-3n) (3-7x)
489. n2x-5a2y2-n2y2+5a2x
R= (x-y2) (n2+5a2)
490. 1+a+3ab+3b
R= (1+a) (1+2b)
491. 4am3-12amn-m2+3n
R= (m2-3n) (4am-1)
492. 20ax-5bx-2by+8ay
R= (4a-b) (5x+2y)
493. a4+a2+1
R= a2+1-a) (a2+1+a)
FACTORIZACION.
494. m4+m2n2+n4
R= (m2+n2-mn) (m2+n2+mn)
495. x8+3x4+4
R= (x4+2-x2) (x4+2+x2)
496. a4+2a2+9
R= (a2+3-2a) (a2+3+2a)
497. a4-3a2b2+b4
R= a2-b2-ab) (a2-b2+ab)
498. x4-6x2+1
R= (x2-1-2x) (x2-1+2x)
499. 4a4+3a2b2+9b4
R= (2a2+3b2-3ab) (2a2+3b2+3ab)
500. 4x4-29x2+25
R= (2x2-5-3x) (2x2-5+3x)
501. x8+4x4y4+16y8
R= (x4+4y4-2x2y2) (x4+4y4+2x2y2)
502. 16m4-25m2n2+9n4
R= (4m2-3n2-mn) (4m2-3n2-mn)
503. 25a4+54a2b2+49b4
R= (5a2+7b2-4ab) (5a2+7b2+4ab)
504. 36x4-109x2y2+49y4
R= (6x2-7y2-5xy) (6x2-7y2+5xy)
505. x4+64y4
R= (x2 + 8y2) (x2 - 8y2)
506. 4x8+y8
R= 4x8 + y8
507. a4+324b4
R= (a2+6ab+18b2) (a2-6ab+18b2)
508. 4m4+81n4
R= (2m+9n-3√2mn) (2m+9n-3√2mn)
509. 4+625x8
R= (2+10x2+25x4)(2-10x2+25x4)
510. 64+a12
R= (8+a6-4a) (8+a6+4a)
511. 1+4n4
R= (1+2n+2n2)(1-2n+2n2)
512. 64x8+y8
R= (8x4+y4-4x2y2) (8x4+y4+4x2y2)
513. 81a4+64b4
R= (9a2+12ab+8b2) (9a2-12ab+8b2)
514. a4+4b4
R= (a2+2b2-2ab) (a2+2b2+2ab)
515. a5+1 R= (a+1) (a4-a3+a2-a+1)516. a5-1R= (a-1) (a4+a3+a2+a+1)
517. 1-x5
R= (1-x) (1+x+x2+x3+x4)
518. a7+b7
R= (a+b) (a6-a5b+a4b2-a3b3+a2b4-ab5+b6)
519. m7-n7
R= (m-n)(m6+m5n+m4n2+m3n3+m2n4+mn5+n6)
520. a5+243
R= (a+3)( a4-3a3+9a2-27a+81)
521. 32-m5
FACTORIZACION.
R= (2-m) (16+8m+4m2+2m3+m4)
522. 1+243x5
R= (1+x) (1-3x+9x2-27x3+81x4)
523. x7+128R= (x+2) (x6-2x5+4x4-8x3+16x2-32x+64)
524. 243-32b5
R= (3-2b)( 81+162b+108b2+72b3+48b4)
525. x3-4x2+x+6R= (x+1)(x-2)(x-3)
526. 2x5-x2-18x+9
R= x2(x3-1)-9(2x+1)
527. a3+a2-13a-28
R= (a-4)(a2+5ª+7)
528. x3+2x2+x+2
R= (x+2)(x2+1)
529. n3-7n+6
R= (n-1)(n-2)(n+3)
530. 6x3+23x2+9x-18
R= (x+3)(2x+3)(3x-2)
531. x4-4x3-3x2+4x-4
R= (x-1)(x+1)(x-2)2
532. x4-2x3-13x2+14x+24
R= (x-2)(x+1)(x-4)(x+3)
533. a4-15a2-10a+24
R= (a-1)(a+2)(a+3)(a-4)
534. n4-27n2-14n+120
R= (x+4)(x-2)(x2-2x-15)
535. x2-y2+4x+4
R= (x+2+y)(x+2-y)
536. 9x2+y2-6xy-36
R= (3x-y-6)( 3x-y+6)
537. x3-16x+2x2y+xy2
R= x(x+y+4)(x+y-4)
538. x2-4y2-16y-16
R= -1(2y+4-x)( 2y+4+x)
539. 9-4x2-8xy-4y2
R= (3+2x+2y)(3-2x-2y)
540. 16-4x4-4y2-8x2y
R= -1(2x2+2y-16)( 2x2+2y+16)
541. 16x2-y4-16+8y2
R= (4x+y2-4)(4x-y2+4)
542. 1-16x2-16y2+32xyR= 1-(4x-4y)2
543. 4+64xy-16x2-64y2
R= 4(1+2x-4y)(1-2x+4y)
544. x2+y+x+xyR= (x+1)(x+y)
545. 27x2+12x-18xy-8yR= (9x+4)(3x-2y)
546. 40ax-45bx+24ay-27byR= (5x+3y)(8a-9b)
547. 64x3-4x+y3-y R= (4x+y)(16x2-4xy+y2-1)
548. x3+x2-8y3-4y2
R= x2(x+1)+(-4y2)(2y+1)
549. x3+3x2-9x-27R= (x-3)(x+3)2
550. x4-16+2x3-8xR= (x+2)(x3-8)
FACTORIZACION.