Find the value of the expression (9x^2+ 24x + 16), when x = 12. - Vidyadip

Question

Find the value of the expression $(9x^2+ 24x + 16),$ when $x = 12.$

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Answer

$\left(9 x^2+24 x+16\right)$
$=(3 x)^2+2(3 x)(4)+(4)$
$=(3 x+4)^2$
$=(3 \times 12+4)^2=(36+4)^2=(40)^2=1600$

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