If $a + b = 10$ and $a b = 21$ , then find the value of $a^{3 +} b^{3}$ .

Open in App

Solution

$a^{3} + b^{3} + 3 a b (a + b) = (a + b)^{3} \Rightarrow (a^{3} + b^{3}) + 3 \times 21 (10) = 10^{3} a^{3} + b^{3} = 370$

Suggest Corrections

Similar questions

If a + b = 10 and ab = 21, find the value of $a^{3} + b^{3}$ .

If a - b = 4 and ab = 21, find the value of $a^{3} - b^{3} .$

a^{3} + b^{3} =

a + b + c = 5

a b + b c + c a = 10

a^{3} + b^{3} + c^{3} - 3 a b c

a^{3} - b^{3}

Join BYJU'S Learning Program