Factorize: x2 – xy(1-y) – y 3
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Step-by-step explanation:
x2-y3-xy+xy2
x2-xy-y3+xy2
x(x-y)-y2(y-x)
(x-y2)(x-y)(y-x)
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x²-xy(1-y)-y³
Multiply-xy and 1-y
x²- xy +xy²-y³
Now take common factor so t the two brackets have same numbers
x (x-y) +y² (x-y)
Now again take common factor as (x-y)
(x-y)(X+y²)
This is the answer
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