How do you factor $5 x^{4} y - 10 x^{2} y^{2}$ $5x^4y-10x^2y^2$ ?

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Answer 1 · 2016-04-26T21:17:55

$5 x^{4} y - 10 x^{2} y^{2} = 5 x^{2} y (x^{2} - 2 y)$ $5x^4y-10x^2y^2 = 5x^2y(x^2-2y)$

First note that both terms are divisible by $5 x^{2} y$ $5x^2y$ , so separate that out as a factor first:

$5 x^{4} y - 10 x^{2} y^{2} = 5 x^{2} y (x^{2} - 2 y)$ $5x^4y-10x^2y^2 = 5x^2y(x^2-2y)$

The remaining term $(x^{2} - 2 y)$ $(x^2-2y)$ cannot be factored further.

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