Question 37

If a - b = 2 and ab = 24, then what is the value of $$a^{3} - b^{3}$$?

Solution

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

$$a^{3}-b^{3}=(2)^{3}+3(24)(2)=8+144=152$$

so the answer is option D.

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