How to factor out the GCF in an equation?
2x^3y + 8xy - 4x^2y - 16y

Question

studygurl14 · Answer

$$2x^{3}y + 8xy - 4x^{2}y - 16y$$
$$y(2x^{3} + 8x - 4x^{2} -16)$$

anonymous · Answer

2 can also be factored out...

studygurl14 · Answer

yes, true.
$$2y(x^{3} + 4x - 2x^{2} - 8)$$

becca9898 · Answer

Could you help me with factoring it as well?

studygurl14 · Answer

first, organize it like this
$$2y(x^{3} - 2x^{2} + 4x - 8)$$
What next?

becca9898 · Answer

(Also thank you for helping the GCF.. That was my original answer, but I was unsure.)
Would we multiple everything by 2y?

studygurl14 · Answer

No, you would want to leave that out. Is there an equals sign in this? I feel like there should be more info...

becca9898 · Answer

The instructions:
Rewrite the expression completely factored. Show the steps of your work.
2x3y + 8xy - 4x2y - 16y

studygurl14 · Answer

okay.
Then just factor it. Do you know how to factor a quadnomial?

becca9898 · Answer

Not at all. I had to miss a week of school do to health reasons.. My teacher told me the best way to learn was to do it on my own.

studygurl14 · Answer

sorry I have to leave. I'll do it tomorrow if I have time

studygurl14 · Answer

$$2y(x^{2}(x - 2) + 4(x - 2))$$
That's the next step. Can you do the rest?

studygurl14 · Answer

@becca9898

becca9898 · Answer

Would it then be:
$$2y(x-2)(x^2+4)$$

studygurl14 · Answer

Yes! good job @becca9898