In the expansion of $(5 x - 3) (x + 2)^{2}$ , find the coefficient of $x$ .
$[2 M a r k s]$

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Solution

$(5 x - 3) (x + 2)^{2} = (5 x - 3) (x^{2} + 4 x + 4) (0.5 M a r k)$

$5 x^{3} + 20 x^{2} + 20 x - 3 x^{2} - 12 x - 12$

$5 x^{3} + 17 x^{2} + 8 x - 12$

$∴$ Coefficient of $x = 8 (1.5 M a r k s)$

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