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Question

Which of the following represents the factorisation of 2xy+6y2?


A

2y(x+3y)

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B

3y(x+2y)

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C

4x(x+3y)

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D
6y(x+y)
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Solution

The correct option is A

2y(x+3y)


Given expression: 2xy+6y2
The expression can be factorised as follows:

2xy+6y2=(2×x×y)+(2×3×y×y)

Taking 2 and y common from both the terms, we get,
=2y(x+3y)

2y(x+3y) is the factorisation of 2xy+6y2.


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