Question

How do we prove geometrically a2-b2 = (a-b)(a+b)

Answer 1

1) square whose side is a
3) remove a square whose area is b^2
that figure shows a^2-b^2

4) cut dotted portion as shown in 4th figure
5) flip the below portion
u will get rectangle
whose area is (a+b)(a-b)

Answer 2

To prove : a² - b² = (a-b)(a+b)
for proving the following identity we have to solve the R.H.S
∴ (a-b)(a+b)
= a(a) + a(b) - b(a) -b(b)
= a²+ab - ab - b²
= a² - b²
=L.H.S

∴a²-b² = (a-b)(a+b)