A) - 83
B) - 82
C) - 81
D) 0
Correct Answer: C
Solution :
\[{{({{x}^{2}}-x-2)}^{5}}={{(x-2)}^{5}}{{(1+x)}^{5}}\] = \[[\,{}^{5}{{C}_{0}}{{x}^{5}}-{}^{5}{{C}_{1}}{{x}^{4}}\times 2+...\,]\] \[[\,{}^{5}{{C}_{0}}+{}^{5}{{C}_{1}}x+...\,]\] Collecting the coefficient of x5: \[1-5.5.2+10.10.4-10.10.8+5.5.16-32\] = \[1-50+400-800+400-32=-81\].You need to login to perform this action.
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