Question

(x+1)^(2)(x-2)+(x+1)(x-2)^(2)=0

Answer 1

Hint: Factor out what's common to both terms
(x+1)(x+2) is common

Once you factor that out, use zero product property.

Answer 2

So it's just x=2 and -1?

Answer 3

Yup, but let me see if there are more solutions

Answer 4

Good job

Answer 5

Hooray! Thanks!

Answer 6

I have another one, if you don't mind

Answer 7

You should post it as a separate question.