Question

Complete the factoring of the polynomial . 10x^2y^3-10xy^2=10xy^2(___)

Answer 1

We have the following polynomials:

$10x^2y^3-10xy^2$

First, we can see they have in common the number 10, so we can write:

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

Now, we must find the greatest common factor in the terms on parenthesis:

$\begin{gathered} x^2y^3=x\cdot x\cdot y^2\cdot y \\ xy^2=xy^2 \end{gathered}$

then, the answer is

$10x^2y^3-10xy^2=10xy^2(xy-1)$