Question

Verify x³-y³=(x-y) (x²+xy+y²)

Answer 1

Step-by-step explanation:

R.H.S.= (x-y) (x2+xy+y2)

$= (x - y)( {x }^{2} + xy + {y}^{2} ) \\ = {x}^{3} + {x}^{2} y + x {y}^{2} - y {x}^{2} - x {y}^{2} - {y}^{3} \\ = {x}^{3} - {y}^{3}$

hence proved...