Completely Factor the polynomial:
(x+3)^3(x-9)^4-(x+3)^4(x-9)^3
I can see that I'll want to factor out (x+3)^3 and (x-9)^3 but I'm having trouble actually doing that and going on from there.

Question

Completely Factor the polynomial:
(x+3)^3(x-9)^4-(x+3)^4(x-9)^3
I can see that I'll want to factor out (x+3)^3 and (x-9)^3 but I'm having trouble actually doing that and going on from there.

misty1212 · Answer

HI!!

misty1212 · Answer

what is is left when you "factor it out"?

misty1212 · Answer

$$(x+3)^3(x-9)^3(\text{what is left that you need})$$

misty1212 · Answer

you need one factor of $x+3$ and one factor of $x-9$ to make it complete

misty1212 · Answer

$$(x+3)^3(x-9)^3(\text{what is left that you need})$$
$$(x+3)^3(x-9)^3(x+3+x-9))$$

anonymous · Answer

So (x+3)(x-9)?

misty1212 · Answer

not times, plus

anonymous · Answer

Ah, that was the issue then.

misty1212 · Answer

$$AB+AC=A(B+C)$$ it is plus, not times

anonymous · Answer

My program still won't accept the answer. I tried simplifying it further to $$(x+3)^3(x-9)^3(2)(x-3)$$ but it still won't accept it, I think there may be issues with the program though.