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

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Solution

Consider the given equation,
$(9 x^{2} + 24 x + 16)$ at $x = 12$

$= 9 {(12)}^{2} + 24 (12) + 16$
$= 9 (144) + 288 + 16$
$= 1296 + 288 + 16$
$= 1600$

Hence,the value of the expression is $1600$

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