Question

Verify a)x^3+y^3=(x+y)(x^2-xy+y^2) b)x^3-y^3=(x-y)(x^2+x-y+y^2) using some non-zero positive integers and check by actual multiplication. Can you call these as identities?​

Answer 1

Step-by-step explanation:

let x = 2 and y = 1

for a:

LHS is 2³ + 1³ = 8+1=9

RHS is (2+1)(2²-2*1+1²) = (3)(4-2+1) = (3)3 = 9

checked

for b:

LHS is 2³-1³=8-1=7

RHS is(2-1)(2²+2*1+1²) = (1)(4+2+1) = 7

checked