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Home / Now substitute into the identity:

Now substitute into the identity:

February 22, 2026

Now substitute into the identity:

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x^3 + y^3 = (x + y)^3 - 3xy(x + y)
$ x + y = 10 $, $ x^2 + y^2 = 58 $
Recall:
x^3 + y^3 = (10)^3 - 3(21)(10) = 1000 - 630 = 370
Thus, $ x^3 + y^3 = \boxed{370} $.
Question: Compute $ (a + b)^2 - (a - b)^2 $ in terms of $ a $ and $ b $.

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