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Factorize x(x^3 – y^3) + 3xy(x – y)

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Factorize: x(x3 – y3) + 3xy(x – y)

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x(x3 – y3) + 3xy(x – y)

= x(x – y) (x2 + xy + y2) + 3xy(x – y) 

Taking x(x – y) as a common factor 

= x(x – y) (x2 + xy + y2 + 3y) 

= x(x – y) (x2 + xy + y2 + 3y)

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