The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , when the value of $x = 1$ and $y = 2$ is $- 46$ .

True

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False

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Solution

The correct option is A
True

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

$\Rightarrow 12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3}$

$\Rightarrow 12 (1)^{3} (2) - 15 (1)^{2} (2) + 20 (1) (2)^{3} - 25 (2)^{3}$

$\Rightarrow 12 (1) (2) - 15 (1) (2) + 20 (1) (8) - 25 (8)$

$\Rightarrow 24 - 30 + 160 - 200$

$\Rightarrow - 46$

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

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