Question

Could someone show me how to do this problem

Explain, in complete sentences, how you would completely factor 2x3 – 24x2y + 12xy – 144y2 by using the grouping method. How would you check your factors for accuracy?

Answer 1

Group the first two terms together and the last two terms together.
(2x^3 - 24x^2y) + (12xy - 144y^2)
Then factor the GCF for both groups.
2x^2(x - 12y) + 12y(x - 12y) Then, take what's outside the parentheses and group them and take one of the binomials that were there before, (they should be the same) and multiply them.
(2x^2 + 12y)(x - 12y). Then, you can still factor out a GCF in the first binomial.
2(x^2 + 6y)(x - 12y)
You can check your factors for accuracy by FOILing them out and seeing if you get the same thing.

Answer 2

thank you :)

Answer 3

You're welcome