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Question

If 2x+3y=13 and xy=6, find the value of 8x3+27y3.

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Solution

2x+3y=13
(2x+3y)3=133
(2x)3+(3y)3+18xy(2x+3y)=2197
8x3+27y3+1404=2197
8x3+27y3=793

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