If (a + b) = 8 and ab = 12, find the value of a^3 - b^3
(Hint: (a - b) = (a + b)2 - 4ab]
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Answer:
a3 + b3 = (a + b)3 – 3ab ( a + b)
= (8)3 – 3(15) (8) = 512 – 360 = 152a3 + b3 = (a + b)3 – 3ab ( a + b)
= (8)3 – 3(15) (8) = 512 – 360 = 152
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