Question

How do you factor `4x^2-y^2+4y-4`?

Answer 1

The best I could come up with is:
`(2x+y-2)(2x-y+2)`

Explanation:

`4x^2-y^2+4y-4`

`color(white)("XXX")= (2x)^2 - (y-2)^2`

applying the difference of squares
`color(white)("XXX")=((2x)+(y-2))*((2x)-(y-2))`