By how much is $3 x^{3} - 2 x^{2} y + 5 x y^{2} - y^{3}$ less than $4 x^{3} - 3 x^{2} y - 7 x y^{2} + 2 y^{3}$ ?

x^{3} - x^{2} y - 12 x y^{2} + 3 y^{3}

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x^{3} - x^{2} y + 12 x y^{2} - 4 y^{3}

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x^{3} + x^{2} y + 12 x y^{2} - 3 y^{3}

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7 x^{3} - 5 x^{2} y - 2 x y^{2} + y^{3}

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Solution

The correct option is A $x^{3} - x^{2} y - 12 x y^{2} + 3 y^{3}$
$\Rightarrow (4 x^{3} - 3 x^{2} y - 7 x y^{2} + 2 y^{3})$
$- (3 x^{3} - 2 x^{2} y + 5 x y^{2} - y^{3})$

$\Rightarrow 4 x^{3} - 3 x^{2} y - 7 x y^{2} + 2 y^{3}$
$- 3 x^{3} + 2 x^{2} y - 5 x y^{2} + y^{3}$

$x^{3} - x^{2} y - 12 x y^{2} + 3 y^{3}$

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Similar questions

x^{3} - x^{2} y + 5 x y^{2} + y^{3}, - x^{3} - 9 x y^{2} + y^{3}, 3 x^{2} y + 9 x y^{2}

2 x^{2} y + 5 x y^{2} + 2 y^{3}

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x^{3} - x^{2} y + 5 x y^{2} + y^{3}, x^{3} - 9 x y^{2} + y^{3}

3 x^{2} y + 9 x y^{2}

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