Question

2x3 + 10x2 − 4x2y − 20xy Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)​

Answer 1

`2x(x-2y)(x+5)`

Explanation:

Factor out any GCFs before proceeding!

`2x(x^2+5x-2xy-10y)`

Split the parenthesis into two.

`2x((x^2+5x)-(2xy-10y))`

Factor out GCFS of both again!

`2x(x(x+5)-2y(x-5))`

Now that you have two matching equations, you can cancel one out!

`2x(x-2y)(x+5)`