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25-03-2018
Mathematics

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factorize x (x-y)^3 +3x^2y (x-y)

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25-03-2018

[tex]x(x-y)^3 +3x^2y(x-y)[/tex] ←Take out common factor x(x-y)

[tex]= x(x-y) [(x-y)^2 + 3xy][/tex] ← Apply (a-b)² = a² + 2ab + b²

[tex]= x(x-y) [x^2 -2xy + y^2 + 3xy] [/tex] ← Combine like terms

[tex]= x(x-y)(x^2 - xy + y^2)[/tex]

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