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F i n d space t h e space v a l u e space o f space t h e space c o n s tan t space t e r m space i n space t h e space e x p a n s i o n space o f space open parentheses x squared minus 1 over x squared close parentheses to the power of 16 ?

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Asked by Topperlearning User 8th October 2016, 2:33 PM
Answered by Expert
Answer:

L e t space t h e space left parenthesis r plus 1 right parenthesis to the power of t h end exponent space t e r m space i s space t h e space c o n s tan t space t e r m space s o
T subscript r plus 1 end subscript equals C presuperscript 16 subscript r left parenthesis x squared right parenthesis to the power of r left parenthesis fraction numerator negative 1 over denominator x squared end fraction right parenthesis to the power of 16 minus r end exponent
F o r space T subscript r plus 1 end subscript space t o space b e space c o n s tan t space t h e space p o w e r space o f space x space s h o u l d space e q u a l space t o space 0.
P o w e r space o f space x space i n space T subscript r plus 1 end subscript space i s space 2 r minus left parenthesis 32 minus 2 r right parenthesis equals 0
4 r equals 32 rightwards double arrow r equals 8
S o space t h e space c o n s tan t space t e r m space i s space 9 to the power of t h space end exponent t e r m
T h e space v a l u e space o f space t h e space c o n s tan t space t e r m space i s space C presuperscript 16 subscript 8

Answered by Expert 8th October 2016, 4:33 PM
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