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Question

Factorise the following:
x3 - 27y3 + 125 + 45xy

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Solution

x3 - 27y3 + 125 + 45xy=x3 + -3y3 + 53 - 3×x-3y5=x+-3y+5x2 + -3y2 + 52-x×-3y--3y×5 - 5×x=x-3y+5x2 + 9y2 + 25 + 3xy + 15y -5x

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