Find the value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if $x = 2$ and $y = 3$ . $[2 M a r k s]$

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Solution

$(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$

$\Rightarrow 12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3}$ $[1 M a r k]$

$\Rightarrow 12 (2)^{3} (3) - 15 (2)^{2} (3) + 20 (2) (3)^{3} - 25 (3)^{3}$

$\Rightarrow 12 (8) (3) - 15 (4) (3) + 20 (2) (27) - 25 (27)$

$\Rightarrow 288 - 180 + 1080 - 675 \Rightarrow 513$ $[1 M a r k]$

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The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if $x = 2$ and $y = 3$ is $513$ .

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