Question
If a + b = 5 and ab = 6, find the value of a3
+ b3.Solution
Formula: a3 + b3 = (a + b)(a2 + b2 - ab) Or: a3 + b3 = (a + b)3 - 3ab(a + b) Using second formula: = (5)3 - 3(6)(5) = 125 - 90 = 35.
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