Question

Verify: x³+y³=(x+y)(x²-xy+y²). ,. x³-y³=(x-y)(x²+xy+y²)

Answer 1

Step-by-step explanation:

x³+y³=(x+y)(x²-xy+y²)

= x(x²-xy+y²)+y(x²-xy+y²)

= x³-x²y+xy²+x²y-xy²+y³

x³+y³= x³+y³

LHS=RHS

Hence verified

x³-y³=(x-y)(x²+xy+y²)

= x(x²+xy+y²)-y(x²+xy+y²)

= x³+x²y+xy²-x²y-xy²-y³

x³-y³=x³-y³

LHS=RHS

Hence verified