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## Homework Statement

Show that (2a-1)^2 - (2b-1)^2 = 4(a-b)(a+b-1)

## Homework Equations

n/a

## The Attempt at a Solution

I thought that i needed to rearrange (2a-1)^2 - (2b-1)^2 to show 4(a-b)(a+b-1)

my attempt...

4a^2 - 4a + 1 - 4b^2 - 4b + 1

4(a^2 - a + (1/4) - b^2 - b + (1/4))

4(a^2 - a - b^2 - b + (1/2))

then i turnt that to this which i really think is going the wrong direction lol

4(a(a-1)-b(b+1)+(1/2))

lol

anyways, if i was to try and solve my errors myself id tell myself to try and extract the (a-b) as a factor from 4(

**a^2 - a + (1/4) - b^2 - b + (1/4)**)

hope you can help

thnx