if x+3y=6 then shows that x cube + 27y cube +54xy=216
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SOLUTION ::
x + 3y = 6
Cubing both sides
x³ + (3y)³ + 3 × x × 3y (x + 3y) = 6³
x³ + 27y³ + 3 × x × 3y ×6 = 6³
x³ + 27y³ + 54xy = 216
Hence the proof follows
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