Question 87

If $$a^{3} + b^{3}$$ = 152 and a + b = 8, then what is the value of ab?

Solution

$$a^{3}+b^{3}=(a+b)^{3}-3ab(a+b)$$

$$152=(8)^{3}-3ab(8)$$

$$152=512-24ab$$

$$24ab=360$$

$$ab=15$$

So the answer is option D.

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