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First at all you should develop the expression between parentesis.

is this using factoring? I need to use all methods

isn't this extracting the square root

@viniterranova do u mean foil it?

If you quadratic trinomial for (x-1)^2 you will find. x^2+2x+1=9, so x^2+2x-8=0

and that's for the factoring method right???

x^2+2x-8= 0 ; (x-4)(x+2)=0

well i just wanna be sure

Just solve the expression (x-4)(x+2)=0.

wait, im not there yet, so you move the 9 to the other side, and foil (x-1)^2 and I got x^2-2x+1?

Just pass the 8 for the first term of the equation and subtract it. and you got x^2+2x-8= 0

is thiscorrect

isn't it a -2x

Yes, it´s -2x. Sorry for my lack of attention. So, the expression is x^2-2x-8=0

and are the answers I got correct?

@Skaematik can u check my work

@viniterranova I saw ur work, I understand now