factorize the following by regrouping terms y2-x3-xy+x2y
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Given : y² - x³ - xy + x²y
To Find : Factorize
Solution:
y² - x³ - xy + x²y
rearrange the term
= y² - xy - x³ + x²y
Take common y in 1st two terms and x² in last two terms
= y(y - x) +x²( -x + y)
Take y - x common
= ( y - x)(y + x²)
= ( x² + y) (y - x)
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