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JEE Mains · Maths · STD 11 - 7. binomial theoram
The coefficient of \(x^{10}\) in the expansion of \((1 + x)^2 (1 + x^2)^3 ( 1 + x^3)^4\) is euqal to
- A \(52\)
- B \(44\)
- C \(50\)
- D \(56\)
Answer & Solution
Correct Answer
(A) \(52\)
Step-by-step Solution
Detailed explanation
\(\because(1+x)^{2}=1+2 x+x^{2},\) \(\left(1+x^{2}\right)^{3}=1+3 x^{2}+3 x^{4}+x^{6},\) and \(\left(1+x^{3}\right)^{4}=1+4 x^{3}+6 x^{6}+4 x^{9}+x^{12}\) So, the possible combinations for \(x^{10}\) are:…
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