Question

Factor the following completely: 2xy² - 50x

Answer 1

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

Explanation:

2x (
`y^(2)`-25)

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

Answer 2

Remove the greatest common factor.

Both have a multiple of 2 in them

Both have a multiple of x in them

Therefore, both have a multiple of 2x in them.

Factor 2x out.

2x(y^2 -5)

Use difference of squares to factor the second term.

(2x) (y-5) (y+5) is factored form.

Hope this helps :)