# Thread: trinomial factoring

1. ## trinomial factoring

Hi. I need a hand with this. I tried to solve it in different ways and didn't manage to get to the book answer.

2. Originally Posted by Alienis Back
Hi. I need a hand with this. I tried to solve it in different ways and didn't manage to get to the book answer.
Try it this way:

$10x^4y^2+20x^3y^3-30x^2y^4$

Find GCF to be $10x^2y^2$

Now factor out the GCF:

$10x^2y^2(x^2+2xy-3y^2)$

Factor the trinomial:

$10x^2y^2(x+3y)(x-y)$

To answer your 1st question, if you factor a 2 out of your last step, you will arrive at the correct solution.

In your second attempt, you need to factor out a $10x^2y^2$ to arrive at the same conclusion.

3. ## Thank you.

thanks for the help