Question 87

If a + b = 4 and ab = -21, then what is the value of $$a^{3} + b^{3}$$?

Solution

$$a^{3}+b^{3}=(a+b)^{3}-3ab(a+b)=(4)^{3}-3(-21)(4)=64+252=316$$

So the answer is option D.

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