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Question

Factorise:x3y2zx2y+x4y3


A

x2(xyz+x2y2)

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B

xy2(xyz+x2y2)

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C

x2y(xyz+x2y2)

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D

xy(xyz+x2y2)

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Solution

The correct option is C

x2y(xyz+x2y2)


x3y2zx2y+x4y3
=(x×x×x×y×y)(z×x×x×y)+(x×x×x×x×y×y2)
=x2y(xyz+x2y2)


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