Question 86

If $$a^3 + b^3 = 218$$ and $$a + b = 2$$, then the value of $$ab$$ is:

Solution

$$(a + b)^3 = a^3 + b^3 + 3ab(a + b)$$
$$(2)^3 = 218 + 3ab(2)$$
-6ab = 218 - 8 = 210
ab = -210/6 = -35

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