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Question

The simplified form of x29y2x327y3 is _______.

A
x+3yx2+3xy+9y2
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B
x2+3xy+9y2x+3y
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C
x2+6xy+9y2x+3y
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D
x+3y
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Solution

The correct option is A x+3yx2+3xy+9y2
Given,
x29y2x327y3
x29y2x327y3 = x2(3y)2x3(3y)3

= (x+3y)(x3y)(x3y)(x2+3xy+9y2) [a2b2=(a+b)(ab) and a3b3=(ab)(a2+ab+b2]

= x+3yx2+3xy+9y2

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