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Byju's Answer
Standard IX
Mathematics
Algebraic Identities
Find the fact...
Question
Find the factors of the following expressions:
(6) 2x
2
+ xy − 2xy
2
− y
3
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Solution
2x
2
+ xy − 2xy
2
− y
3
We can factorise this expression as:
2x
2
+ xy − 2xy
2
− y
3
= (2x
2
+ xy) + (− 2xy
2
− y
3
)
= x (2x + y) − y
2
(2x + y)
= (2x + y) (x − y
2
)
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