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

True

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False

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Solution

The correct option is A
True

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

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

$\Rightarrow$ 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 = 513

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Similar questions

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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