Question 87

If a - b = -1 and ab = 6, then what is the value of $$a^{3} - b^{3}$$?

Solution

$$a^{3} - b^{3} = (a-b)^{3}+3(ab)(a-b)=(-1)^{3}+3(6)(-1)=-1-18=-19$$

so the answer is option B.

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