Question

Fully factorize: x^2 - a^2 +x +a

Can anyone solve this for me step by step?

Answer 1

\(x^2-a^2+x+a=(x-a)(x+a)+(x+a)=(x+a)(x-a+1)\)

Answer 2

@zzr0ck3r

Answer 3

let me get off my tablet, brb

Answer 4

Okay

Answer 5

So you are to factor x^2-a^2+x+a?

Answer 6

@freckles yupp

Answer 7

\[x^2-a^2=(x-a)(x+a) \\ \text{ So} (x-a)(x+a)+1(x+a)=(x+a)(x-a+1)\]
Like Zocker said..
\[(x-1+a)(x-1-a)=(x-1)^2-a^2=x^2-2x+1-a^2 \\=x^2-a^2-2x+1 \neq x^2-a^2+x+a\]

Answer 8

Yeah, you both are right. Turns out, I was looking at the wrong answer in my textbook and that's the right one, Thanks, though. :)