Find the coeff of $x^{12}$ in the expansion of the product $(1 + 2 x)^{5} (1 - x)^{7}$

- 32

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Solution

The correct option is B $- 32$
GIven expansion is ${(1 + 2 x)}^{5} {(1 - x)}^{7}$
the max power is $12$ ,
$∴$ the coeffcient of $x^{12}$ is,
$2^{5} {(- 1)}^{7}$
$= - 32$
$∴$ the coeffcient of $x^{12}$ is $- 32$

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