Verify: (i) x³ + y³ = (x + y)(x² - xy + y²) (ii) x³ - y³ = (x - y)(x² + xy + y²)

To verify put x=1 and y=2 in given equations, and check whether LHS and RHS are equal
(i) x³ + y³ = (x + y)(x² - xy + y²)
LHS: x³ + y³ = 1³ + 2³ = 9
RHS: (x + y)(x² - xy + y²) = (1 + 2)(1² - 1.2 + 2²) = 9
verified
(ii) x³ - y³ = (x - y)(x² + xy + y²)
LHS: x³ - y³ = 1³ - 2³ = -7
RHS: (x - y)(x² + xy + y²) = (1 - 2)(1² + 1.2 + 2²) = -7
It is verified