i have been given this equation to solve as the product of two factors

5x^3 - 10xy^2

I have been struggling with this equation i cant seem to get it right , can some one explains how the hell to do this please?

Thanks in advance.

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- Jul 21st 2009, 03:21 PMLucy1solving as a product of two factors
i have been given this equation to solve as the product of two factors

5x^3 - 10xy^2

I have been struggling with this equation i cant seem to get it right , can some one explains how the hell to do this please?

Thanks in advance. - Jul 21st 2009, 03:25 PMKasper
Factors of a number are two things that multiply to give that number.

So if we pull out 5x from the above, we get;

$\displaystyle (5x)(x^2-2y^2)$

Where $\displaystyle 5x$ and $\displaystyle x^2-2y^2$ are both factors of $\displaystyle 5x^3 - 10xy^2$.

$\displaystyle 5x^3 - 10xy^2=(5x)(x^2-2y^2)$

Does this make sense?