The expression $10 x y^{4} - 10 x^{4} y$ can be expressed in factors as

10 x y (x - y) (x^{2} + x y + y^{2})

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10 x y (y - x) (x^{2} - x y + y^{2})

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10 x y (y - x) (x^{2} + x y + y^{2})

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None of these

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Solution

The correct option is C $10 x y (y - x) (x^{2} + x y + y^{2})$
$10 x y^{4} - 10 x^{4} y$
$= 10 x y (y^{3} - x^{3})$
$= 10 x y (y - x) (y^{2} + x^{2} + x y)$ [ $∵ a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + a b)$ ]
Option C is correct.

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(x + y) (x^{2} - x y + y^{2})

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Find the expression whose expanded form is $(x - y) (x^{2} + x y + y^{2}$ ).

(x + y) (x^{2} - x y + y^{2})

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