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Question

If a+b+c=10 and a2+b2=58,find the value of a3+b3


Solution

I think small mistake in question.

Given:
a+b = 10
a^2 + b^2 =58

( a + b)^2 = a^2 + b^2 + 2ab

100 = 58 + 2ab

42 = 2ab

ab = 21

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

1000 = a^3 +b^3 + 3*21(10)

1000 = a^3 +b^3 + 630

a^3 +b^3 = 370

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