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/2022081720/558422b2d8b42a86478b47ef/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$%� =
� = �� �� − ��� +"� + ,�� " − ��+� �"� + +�� �"�� − ���"��
�. (-� + .�) =
(/�)� + 6(/�)�(0�) + 15(/�)�(0�)� + 20(/�)�(0�)� + 15(/�)�(0�)� + 6(/�)(0�)� + (0�)� =
/%� + 6(/%&)(0�) + 15(/')(0�) + 20(/�)(0*) + 15(/�)(0%�) + 6(/�)(0%�) + (0%') =
� = -�� + -��.� + ��-+. + ��-.� + ��-�.�� + -�.�� + .�+
4.4.4.4.---- (� ---- .,), ====
(3)3 + (3)� (−03) + (3)� (−03)� + (3)� (−03)� + (3)� (−03)� + (3)� (−03)� + (3) (−03)� + (−03)3 =
(3)3 + 7 (3)� (−03) + 21(3)� (−03)� + 35(3)� (−03)� + 35(3)� (−03)� + 21(3)� (−03)� + 7(3) (−03)� + (−03)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.�� −.��
![Page 2: ejercicio 211 del libro de Baldor](https://reader035.fdocumento.com/reader035/viewer/2022081720/558422b2d8b42a86478b47ef/html5/thumbnails/2.jpg)
5.5.5.5.---- (�-� − �.�)====
(2/�)� + (2/�)� (−30�) + (2/�)� (−30�)� + (2/�)� (−30�)� + (2/�)�(−30�)� + (2/�) (−30�)� + (−3y�)� =
(2/�)� + 6(2/�)� (−30�) + 15(2/�)� (−30�)� + 20(2/�)� (−30�)� + 15(2/�)�(−30�)� + 6(2/�) (−30�)� + (−3y�)� =
R= R= R= R= 64646464-�+ −�,-��.� + 2160+ 2160+ 2160+ 2160-��.+ − ����-�.�� + 4860 + 4860 + 4860 + 4860 -.� − ���-�.�� + 729+ 729+ 729+ 729.��
6.6.6.6.---- (� � -� + .�)�====
(%� 7�)� + (%
� /�)� (0�) + (%� 7�)�(8�)� + (%
� 7�)�(8�)� + (%� 7�)(8�)�
+ (0�)� =
(%� 7�)� + 5(%
� /�)� (0�) + 10(%� 7�)�(8�)� + 10(%
� 7�)�(8�)� + 5(%� 7�)(8�)� + (0�)� =
R=R=R=R= ��� 9�� + + + + �
� 9+ :� + + + + �� 9: + �� 9�:� + �
� 9�:�� + :��
,. (;� − �
<) =
( =�)� + ( =
�)� (− �>) + ( =�)� (− �
>)� + (=� )� (− �
>)�+ ( =�)� (− �>)� + ( =�) (− �
>)� + (− �>)�=
( =�)� + 6 ( =
�)� (− �>) + 15( =�)� (− �
>)� +20( =� )� (− �>)�+ 15( =�)� (− �
>)� + 6( =�) (− �>)� +
(− �>)�=
� = ;
,�� − �;�
�,< + �;�
�<� − ��;�
<� + ���;�
<� − �+;<� + ,��
<
+. (� − -�)+ =
(1)' + (1)3(−/�)+ (1)�(−x4)2+ (1)�(−x4)3+ (1)�(−x4)4 + (1)�(−x4)5+ (1)�(−x4)6+ (1)(−x4)7+ (−x4)8 =
(1)' + 8(1)3(−/�)+ 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/2022081720/558422b2d8b42a86478b47ef/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=��+ , − ���
� + �+ − ,� � + ��
� � − ��+ + + ,
�� �� − ��+
��
��. (-� + ")+ =
(/�)' + 8(/�)3(3#$) + 28(/�)�(#$)� + 56(/�)�(#$)� + 70(/�)�(#$)� +
56(/�)�(#$)� + 28(/�)�(#$)� + 8(/�)(#$)3 + (#$)' =
/�� + 8/�%#$ + 28(/%')(#�$�) + 56(/%�)(#�$�) + 70(/%�)(#�$�)
+56(/*)(#�$�) + 28(/�)(#�$�) + 8(/�)(#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/2022081720/558422b2d8b42a86478b47ef/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/2022081720/558422b2d8b42a86478b47ef/html5/thumbnails/5.jpg)