If $$a + b = 8, ab = -12$$, then $$a^3 + b^3 =$$
Given, $$a+b = 8$$ and $$ab = -12$$
Then, $$a^3+b^3 = (a+b)^3-3ab(a+b)$$
$$= 8^3 - 3(-12)(8) = 512+288 = 800$$
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