Question

Verify: (i) x^3+ y^3= (x + y) (x^2– xy + y^2)
(ii) x^3– y^3=(x – y) (x^2+ xy + y^2)

Answer 1

hope it will help you

Answer 2

Answer:

To verify put x = 1 and y = 2 in given equations, and check wheater LHS and RHS are equal.

(i) x 3 + y 3 = (x + y)(x 2 − xy + y 2)

LHS: x 3 + y 3 = 13 + 23 = 9

RHS: = (x + y)(x 2 − xy + y 2) = (1 + 2)(12 − 1.2 + 22) = 9

verified

(ii) x 3 − y 3 = (x − y)(x 2 + xy + y 2)

LHS:x 3 − y 3 = 13 − 23 = − 7

RHS:(x − y)(x 2 + xy + y 2) = (1 − 2)(12 + 1.2 + 22) = − 7

It is verified