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

Answer:

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

Step-by-step 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!

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