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Question

Question: In the expansion of\((e^{x} - 1)^{2}\), the coefficient of \(x^{4}\) will be....

In the expansion of(ex1)2(e^{x} - 1)^{2}, the coefficient of x4x^{4} will be.

A

1/12

B

7/12

C

5/12

D

None of these

Answer

7/12

Explanation

Solution

12x+3x2ex\frac{1 - 2x + 3x^{2}}{e^{x}}

x5x^{5}

71120\frac{71}{120}The coefficient of

x4x ^ { 4 } 3140\frac{31}{40}.