Question

prove that a*a-b*b=(a+b)(a-b)

Answer 1

prove this by mathematical induction i.e . by putting values in the identity.

Answer 2

R.H.S

(a+b)(a-b)
=a^2-ab+ab-b^2
=a^2-b^2 ( -ab and +ab are cancel)

L.H.S

a.a-b.b=a^2-b^2

hence ....
L.H.S=R.H.S
(PROVED)