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Question

If x+y=7 and x*y=12 find x3+y3

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Solution

Given (x + y) = 7 and xy = 12
Now,
x^3 + y^3 = (x + y)^3 – 3xy(x + y)
⇒ x^3 + y^3 = (7)^3– 3(12)(7)
= 343 – 252
=91
∴ x^3 + y^3 = 91

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