Answer 1

In the given problem, we have to find the value of  `a^3 + b^3`

Given `a+b = 10, ab = 21`

We shall use the identity `(a+b)^3 = a^3 +b^3 +3ab(a+b)`

Here putting, `a+b = 10,ab= 21`

`(10)^3 = a^3+ b^3 +3 (21)(10)`

` 1000 = a^3 +b^3 +630`

`1000 - 630 = a^3 +b^3`

  `370 = a^3 + b^3`

Hence the value of  `a^3 +b^3` is  370.