Question

If a+b=10 and ab=21 find the value of a3+b3

Answer 1

this is the answer for your.

Answer 2

Answer:

370

Step-by-step explanation:

Given : a+b = 10

            ab = 21

To Find: $a^3+b^3$

Solution:

Identity : $(a+b)^3=a^3+b^3+3ab(a+b)$

Substitute the given values

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

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

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

$370=a^3+b^3$

Hence the value of $a^3+b^3$ is 370