Help me factor this

Question

Help me factor this

imstuck · Answer

Whatcha got?

help!!!! · Answer

250x^4 + 128x

imstuck · Answer

Well, you know the first thing you can do is take out an x.

help!!!! · Answer

Oh wow I didn't think of that. Then you use the special formula for cubic binomial right?

imstuck · Answer

Then you work on the numbers.  They are both even so you know you can start by factoring out at least a 2.  When you factor out an x and a 2, you are left with:$$2x(125x ^{3}+64)$$

imstuck · Answer

Then yes you use the formula to factor the sum of perfect cubes.  Good!

help!!!! · Answer

After you simplify the 2 sums by 3

help!!!! · Answer

Is 216+343a^3 the farthest I can divide any sum?

imstuck · Answer

You need to find the cube root of 125 and that will be your "a"; you need to find the cubed root of 64 and that will be your "b".  then you fit those into this formula:$$a ^{3}+b ^{3}=(a+b)(a ^{2}-ab+b ^{2})$$

help!!!! · Answer

And the answer would be (4x+1) 16x^2-42a+36 right?

imstuck · Answer

Im doing it now...hold on a sec.

imstuck · Answer

The result would be this:

help!!!! · Answer

Yup I got it, thank you so much

imstuck · Answer

$$2x(5x+4)(25x ^{2}-20x+16)$$

imstuck · Answer

and that doesn't factor any further without running into imaginary numbers as solutions. So you're good to go! TY for the medal!  You upped my SmartScore to 71!

help!!!! · Answer

Ty for clarifying 2x :)