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Question

Which of the following is the factor of the given polynomial ?

8x3+27y3+36x2y+54xy2

A

(2x3y)2
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B

(2x+3y)3
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C

(x3y)3
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D

(xy)3
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Solution

The correct option is B
(2x+3y)3
The given polynomial (2x)3+(3y)3+18xy(2x+3y) can be written as

=(2x)3+(3y)3+3(2x)(3y)(2x+3y)=(2x+3y)3
Hence, the correct answer is option (b)

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