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

$(6 x^{3} y - 15 x y + 20 x y^{3} - 5 y^{3})$

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$(12 x^{3} y - 5 x^{2} y + 10 x y^{3} + 25 y^{3})$

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(12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3})

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(6 x^{3} y - 15 x^{2} y + 10 x y^{3} - 5 y^{3})

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Solution

The correct option is C $(12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3})$
Given: $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$
$= 3 x^{2} (4 x y - 5 y) + 5 y^{2} (4 x y - 5 y)$
$= 12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3}$

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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 $513$ .

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

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

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

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

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