Algebra Help 2!

[RjMyStErIo99X]

Well now I need help with a different problem, much more difficult than the one I had trouble with before. And this time it's 2 problems.

Factor each polynomial completely.

38. (x-1)x²-2x(x-1)+x-1

40. (x²-y²)(x²+2xy)+(x²-y²)(y²)

[Homer43]

Why can't you just FOIL/Distribute?

[Gaffe]

Well now I need help with a different problem, much more difficult than the one I had trouble with before. And this time it's 2 problems.

Factor each polynomial completely.

38. (x-1)x²-2x(x-1)+x-1

40. (x²-y²)(x²+2xy)+(x²-y²)(y²)

38.
Factor out x-1:
(x-1)(x^2-2x+1) = (x-1)(x-1)^2 = (x-1)^3

40.
Factor out x^2-y^2:
(x^2-y^2)(x^2+2xy+y^2) = (x^2-y^2)(x+y)^2 = (x+y)(x-y)(x+y)^2
= (x+y)^3(x-y)

[online]

38.
Factor out x-1:
(x-1)(x^2-2x+1) = (x-1)(x-1)^2 = (x-1)^3

40.
Factor out x^2-y^2:
(x^2-y^2)(x^2+2xy+y^2) = (x^2-y^2)(x+y)^2 = (x+y)(x-y)(x+y)^2
= (x+y)^3(x-y)

Ugh, I wanted to show that to him so bad... Ah well, I should check here more often. Everything Gaffe did looks right. Just giving a little more support so you don't have to depend all on one opinion.

[DarkReality]

I'm sorry. You seem to have misplaced this thread. It probably belongs in "Do my homework for me because I'm incapable of asking a real question".

[Gaffe]

I'm sorry. You seem to have misplaced this thread. It probably belongs in "Do my homework for me because I'm incapable of asking a real question".


I just had to do those two problems.