Question

9. Verify: (i).x2 + y2 = (x + y) (x2 - xy + y2) (ii) x - y) = (x – y) (x2 + xy + y2)​

Answer 1

Answer:

1) x^3+y^3=(x+y)(x^2-xy+^2)

let x=2;y=3

LHS=x^3+y^3

(2)^3+(3)^3

8+27

LHS=35

RHS=(x+y)(x^2-xy+y^2)

(2+3)((2)^2-(2*3)+(3)^2)

( 5)(4-6+9)

( 5)(7)

RHS=25

LHS=RHS

hence identity is verified