Question

x ^ 3 + y ^ 3 = (x + y)(x ^ 2 - xy + y ^ 2)
prove LHS=RHS​

Answer 1

LHS = (x + y) (x² - xy + y²)

= x(x² - xy + y²) + y(x² - xy + y²)

= x³ - x²y + y²x + x²y - y²x + y³

= x³ + y³ = RHS

but, x³ + y³ = RHS

•°• RHS = LHS hence proved