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Question
Factorise the following:
x3y3 - 8x2y2 + 15xy
Sum
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Solution
x3y3 - 8x2y2 + 15xy
= x3y3 - 3x2y2 - 5x2y2 + 15xy
= x2y2(xy - 3) - 5xy(xy - 3)
= (xy - 3)(x2y2 - 5xy)
= (xy - 3)xy(xy - 5)
= xy(xy - 3)(xy - 5).
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