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)`