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Question

Find the factors of the following expressions:

(6) 2x2 + xy − 2xy2 − y3

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Solution

2x2 + xy − 2xy2 − y3
We can factorise this expression as:
2x2 + xy − 2xy2 − y3
= (2x2 + xy) + (− 2xy2 − y3)
= x (2x + y) − y2 (2x + y)
= (2x + y) (x − y2)

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