Question

if a+b=10 and a square + b square is equals to 58 find a cube+ b cube

Answer 1

a+b=10

a^2+b^2=58

(a+b)^2=a2+b2+2ab

100=58+2ab

2ab=42

ab=21

now,a3+b3=(a+b)(a2-ab+b2)

a3+b3=10(58-21)

a3+b3=37×10=370