Ejercicio 211 del libro de Baldor
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Transcript of Ejercicio 211 del libro de Baldor
![Page 1: Ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081801/556576b6d8b42a95028b4c16/html5/thumbnails/1.jpg)
Ejercicio 211 del libro de Baldor
�. (� + ��) =
(�) + 6(�)�(2�) + 15(�)�(2�)� + 20(�)�(2�)� + 15(�)�(2�)� + 6(�)(2�)� + (2�) =
� + 6��(2�) + 15��(4��) + 20��(8��) + 15��(16��) + 6�(32��) + 64� =
� = � + ����� + ����� + ������ + ������� + � ���� + ��
�. (�!� − �#�)� =
(2$�)� + 5(2$�)�(−3%�) + 10(2$�)�(−3%�)� + 10(2$�)�(−3%�)� + 5(2$�)(−3%�)� +(−3%�)� =
32$&' + 5(16$()(−3%�) + 10(8$ )(9% ) + 10(4$�)(−27%+) + 5(2$�)(81%&�)−243%&� =
32$&' + 80$((−3%�) + 80$ (9% ) + 40$�(−27%+) + 10$�(81%&�)−243%&� =
� = ��!�� − ���!,#� + -��!# − ��,�!�# + ,��!�#�� − ���#��
�. (.� + /�) =
(0�) + 6(0�)�(1�) + 15(0�)�(1�)� + 20(0�)�(1�)� + 15(0�)�(1�)� + 6(0�)(1�)� + (1�) =
0&� + 6(0&')(1�) + 15(0()(1 ) + 20(0 )(1+) + 15(0�)(1&�) + 6(0�)(1&�) + (1&() =
� = .�� + .��/� + ��.,/ + ��./ + ��.�/�� + .�/�� + /�,
4.4.4.4.---- (� ---- /-)- ====
(3)3 + (3) (−13) + (3)� (−13)� + (3)� (−13)� + (3)� (−13)� + (3)� (−13)� + (3) (−13) + (−13)3 =
(3)3 + 7 (3) (−13) + 21(3)� (−13)� + 35(3)� (−13)� + 35(3)� (−13)� + 21(3)� (−13)� + 7(3) (−13) + (−13)3 =
R=R=R=R= 2187 2187 2187 2187 –––– 5103 5103 5103 5103 /- + 5103+ 5103+ 5103+ 5103/�� −2835283528352835/�� + 945+ 945+ 945+ 945/�, − 189189189189/�� + 21+ 21+ 21+ 21/�� −/�
5.5.5.5.---- (�.� − �/�)====
![Page 2: Ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081801/556576b6d8b42a95028b4c16/html5/thumbnails/2.jpg)
(20�) + (20�)� (−31�) + (20�)� (−31�)� + (20�)� (−31�)� + (20�)�(−31�)� + (20�) (−31�)� + (−3y�) =
(20�) + 6(20�)� (−31�) + 15(20�)� (−31�)� + 20(20�)� (−31�)� + 15(20�)�(−31�)� + 6(20�) (−31�)� + (−3y�) =
R= 64R= 64R= 64R= 64.�, −�-.��/� + 2160+ 2160+ 2160+ 2160.��/, − ����. /�� + 4860 + 4860 + 4860 + 4860 ./� − � �.�/�� + 729+ 729+ 729+ 729/��
6.6.6.6.---- (� � .� + /�)�====
(&� 7�)� + (&
� 0�)� (1�) + (&� 7�)�(8�)� + (&
� 7�)�(8�)� + (&� 7�)(8�)�
+ (1�)� =
(&� 7�)� + 5(&
� 0�)� (1�) + 10(&� 7�)�(8�)� + 10(&
� 7�)�(8�)� + 5(&� 7�)(8�)� + (1�)� =
R=R=R=R= ��� 9�� + + + + �
� 9, :� + + + + �� 9: + �� 9�: + �
� 9�:�� + :��
-. (;� − �
<) =
( =�) + ( =
�)� (− �>) + ( =�)� (− �
>)� + (=� )� (− �
>)�+ ( =�)� (− �>)� + ( =�) (− �
>)� + (− �>) =
( =�) + 6 ( =
�)� (− �>) + 15( =�)� (− �
>)� +20( =� )� (− �>)�+ 15( =�)� (− �
>)� + 6( =�) (− �>)� +
(− �>) =
� = ;
-� − �;�
�-< + �;�
�<� − ��;�
<� + ���;�
<� − �,;<� + -�
<
,. (� − .�), =
(1)( + (1)3(−0�)+ (1) (−x4)2+ (1)�(−x4)3+ (1)�(−x4)4 + (1)�(−x4)5+ (1)�(−x4)6+ (1)(−x4)7+ (−x4)8 =
(1)( + 8(1)3(−0�)+ 28(1) (−x4)2+ 56(1)�(−x4)3+ 70(1)�(−x4)4 +56(1)�(−x4)5+ 28(1)�(−x4)6+ 8(1)( −x4)7+ (−x4)8 =
� =1 1 1 1 –––– 8x8x8x8x4444 + 28x+ 28x+ 28x+ 28x8888 –––– 56x56x56x56x12121212 + 70x+ 70x+ 70x+ 70x16161616 –––– 56x56x56x56x20202020 + 28x+ 28x+ 28x+ 28x24242424 –––– 8x8x8x8x28282828 + x+ x+ x+ x32323232
![Page 3: Ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081801/556576b6d8b42a95028b4c16/html5/thumbnails/3.jpg)
. ( ��. − �
�/)7 7 7 7 ====
( ��@) 7 + ( �
�@) 6 ( − ��A) + ( �
�@)�( − ��A)2 + ( �
�@ ) 4 (− ��A)3 + ( �
�@ ) 3 ( − ��A)4 + ( �
�@) 2 ( − ��A)5 + ( �
�@) (− �
�A)6 + (− ��A)7=
(− ��A) 7 + 7( �
�@) 6 (− ��A) + 21( �
�@)�(− ��A)2 + 35( �
�@ ) 4 (− ��A)3 + 35( �
�@ ) 3 ( − ��A)4 + 21(− �
�@) 2 ( − �
�A)5 + 7( ��@)(− �
�A)6 + (− ��A)7=
B = ��,��,-9-
− ������9: + �
9�:� − -��9�:� + ���
�9�:� − �-,9�:� + �-��
��9: − ��,-��,:-
10101010.... (((( 2222mmmm − !
��
)- =
( 2$)- + 7( 2
$) (− $�
2 ) + 21( 2$)�(− $�
2 )� + 35( 2$)�(− $�
2 )� + 35( 2$)�(− $�
2 )�
+21( 2$)�(− $�
2 )� + 7( 2$)(− $�
2 ) + (− $�
2 )3 =
R=R=R=R=��,!- − ���
!� + �,! − -�!� + ��
� !� − ��, !, + -
�� !�� − !��,
��
��. (.� + !#), =
(0�)( + 8(0�)3(3$%) + 28(0�) ($%)� + 56(0�)�($%)� + 70(0�)�($%)� +
56(0�)�($%)� + 28(0�)�($%) + 8(0�)($%)3 + ($%)( =
0�� + 80�&$% + 28(0&()($�%�) + 56(0&�)($�%�) + 70(0&�)($�%�)
+56(0+)($�%�) + 28(0 )($ % ) + 8(0�)($3%3) + ($(%() =
� = .�� + ,.��!# + �,.�,!�#� + �.��!�#� + -�.��!�#� + �. !�#�
+�,.!# + ,.�!-#- + !,#,
12.12.12.12.---- (3(3(3(3− <�
� ) =
(3)+ + 9(3)((− >D
� ) + 36(3)3 (− >D
� )� + 84(3) (− >D
� )� + 126(3)� (− >D
� )� + 126(3)� (− >D
� )� + 84(3)� (− >D
� ) + 36(3)� (>D
� )3 + 9(3) (− >D
� )( + (− >D
� )+=
![Page 4: Ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081801/556576b6d8b42a95028b4c16/html5/thumbnails/4.jpg)
19683 − 59049 >D
� + 78732 >E
+ − 61236 >F
�3 + 30618 >G
(& −10206 >HI
��� + 2268 >HD
3�+ − 324 >HE
�&(3 + 27 >HF
� & − >HG
&+ (�=
R= 19683 R= 19683 R= 19683 R= 19683 − 19683196831968319683 <� + 8748 + 8748 + 8748 + 8748 <� − 2268 2268 2268 2268 < + 378+ 378+ 378+ 378 <, – 42424242 <�� + + + + �,<��
− �<��
�- + + + + <�
��� − <�,
� ,�
13.13.13.13.---- (1(1(1(1− �9)�� =
(1)&' + 10(1)+ (− &J) + 45(1)( (− &J)� + 120(1)3 (− &J)� + 210(1) (− &J)� + 252(1)� (− &J)� +
210 (1)� (− &J) + 120 (1)�(− &J)3 + 45(1)� (− &J)( + 10(1) (− &J)+ + (− &J)&' =
1 − 10&J + 45 &
JD − 120 &JK + 210 &
JE − 252 &JL + 210 &
JF − 120 &JM + 45 &
JG − 10 &JN + &
JHI=
R= 1 R= 1 R= 1 R= 1 − ��9 + + + + ��
9� − ���9� + + + + ���
9� − ���9� + + + + ���
9 − ��� 9- + + + + ��
9, − ��9 + + + + �
9��
��. O�!� − �#�P =
(2$�) + 6(2$�)�(−5%�) + 15(2$�)�(−5%�)� + 20(2$�)�(−5%�)� + 15(2$�)�(−5%�)� +6(2$�)(−5%�)� + (−5%�) =
64$&� + 6(32$&')(−5%�) + 15(16$()(25%&') + 20(8$ )(−125%&�) + 15(4$�)(625%�') +6(2$�)(−3125%��) + 15625%�' =
� = �!�� − �!��#� + ���!,#�� − �����!#�� + �-���!�#�� − �-���!�#�� +����#��
��. (�� − .
��)-====
43 + 7(�&) Q− @
��R + 21(�
&)�(− @�
�)� + 35(�&)�(− @
��)� + 35(�
&)�(− @�
�)� + 21(�&)�(− @
��)� +
7(�&)(− @
��) + (− @
��)3 =
16384 + 7(4096) Q− @�
�R + 21(1024) Q @&
&'R + 35(256) Q− @ �
&�R + 35(64) Q @��
�'R +21(16) Q− @
&'����R + 7(4) Q @
�'+ �'R − @
& �(��� =
� = ��,� − -�,.� + ����.�� − ���.�� + ��.�
��− ��.
���
+ -.����
��− �.
��,���
![Page 5: Ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081801/556576b6d8b42a95028b4c16/html5/thumbnails/5.jpg)