Question

How do you factor `(x+a)^2-b^2 = 0`?

Answer 1

Use identity `(a+b)(a-b)=a^2-b^2`

`(x+a)^2-b^2=(x+a+b)(x+a-b)=0`

Then `x+a+b=0`

`x+a-b=0`

`x=-(a+b)`
`x=b-a`