X+y=12and xy=27.find the value of x³+y³
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Given (x + y) = 12 and xy = 27 Recall, x3 + y3 = (x + y)3 – 3xy(x + y) ⇒ x3 + y3 = (12)3– 3(27)(12) = 1728 – 972 ∴ x3 + y3 = 756.ANSWER
Given (x + y) = 12 and xy = 27 Recall, x3 + y3 = (x + y)3 – 3xy(x + y) ⇒ x3 + y3 = (12)3– 3(27)(12) = 1728 – 972 ∴ x3 + y3 = 756.ANSWER
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