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Question

Factorize

2xy+8x+4y+y2


A

(y4)(2xy)

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B

(y+4)(2xy)

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C

(y4)(2x+y)

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D

(y+4)(2x+y)

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Solution

The correct option is D

(y+4)(2x+y)


2xy+8x+4y+y2

(2xy+8x)+(y2+4y)

2x(y+4)+y(y+4)

(y+4)(2x+y)


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