Question 87

If a + b = 10 and ab = 24, then what is the value of $$a^{3} + b^{3}$$?

Solution

$$a^{3} + b^{3} = (a+b)^{3}-3(ab)(a+b)=10^{3}-3(24)(10)=1000-720=280$$

so the answer is option A.

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