JEE Mains · Maths · STD 11 - 7. binomial theoram
The coefficient of \(x^2\) in the expansion of the product \((2 -x^2)\). \(((1 + 2x + 3x^2)^6 +(1 -4x^2)^6)\) is
- A \(106\)
- B \(107\)
- C \(155\)
- D \(108\)
Answer & Solution
Correct Answer
(A) \(106\)
Step-by-step Solution
Detailed explanation
\(\text { Let } a=\left(\left(1+2 x+3 x^{2}\right)^{6}+\left(1-4 x^{2}\right)^{6}\right)\) \(\therefore \) Coefficient of \(x^{2}\) in the expansion of the product \(\left(2-x^{2}\right)\left(\left(1+2 x+3 x^{2}\right)^{6}+\left(1-4 x^{2}\right)^{6}\right)\)…
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