Question

if A+B=8 & a^2+b^2=32 find a^3+b^3​

Answer 1

Given,

A+B =8

A²+B² = 32

We know that,

A³+B³ = (A+B)(A²-AB+B²)

Then,

A³+B³ = 8(32-AB) = 256-8AB