Question

If a+b=10 and a^2+b^2=58,then find the value of a^3+b^3

Answer 1

Step-by-step explanation:

370 is the answer

please mark it as brainliest

Answer 2

Step-by-step explanation:

First we'll gather little pieces to use a specific identity,

Let's find the value of 'ab' from the given information

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

(10)^2 = 58 + 2ab

100 - 58 = 2ab

42 = 2ab

21 = ab

now, we can use the identity a^3 + b^3 = (a+b)(a^2-ab+b^2)

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

                =(10)(58-21)

                =(10)(37)

                 =370

I hope this helps you!!