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Question
Factorise the following by taking out the common factor
9x5y3 + 6x3y2 – 18x2y
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Solution
9x5 + 6x3y2 – 18x2y = (3 × 3 × x2 × x3 × y × y) + (2 × 3 × x2 × x × y × y) – (2 × 3 × 3 × x2 × y)
Taking out the common factors 3, x2, y, we get
= 3 × x2 × y(3x3y2 + 2xy – 6)
= 3x2y(3x3y2 + 2xy – 6)
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