Question

What will be the value of a cube + b Cube. If a+b=10 and a square + b square = 58 ?!

Answer 1

a^3+b^3=??
if a+b=10
a^2+b^2=58

Answer 2

a^3+b^3=(a+b)(a^2-ab+b^2)

Answer 3

we need to find ab first

Answer 4

(a+b)^2=a^2+b^2+2ab
10^2=58+2ab
100-58=2ab
42=2ab
ab=21

Answer 5

now put your values in
a^3+b^3=(a+b)(a^2-ab+b^2)

Answer 6

thanks !