Question

Prove that xcube -y cube=(x-y)(xsquare +xy+y square

Answer 1

Answer:

using identity:

(a-b)3=(a-b) (a2+ab+b2) .......... (1)

x cube - y cube= (x-y) (x sq. +xy +y sq.)

LHS:

x cube - y cube

using identity (1)

we get, (x-y) (x2+ xy + y2)

so

LHS= RHS