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Question

Factorise:
x−8xy3

A
x(12y)(1+2y+4y2)
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B
x(1+2y)(1+2y+4y2)
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C
x(12y)(12y+4y2)
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D
x(1+2y)(12y+4y2)
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Solution

The correct option is B x(12y)(1+2y+4y2)
Formula used:a3b3=(ab)(a2+ab+b2)
Given, x8xy3=x(18y3)
=x[13(2y)3]
=x[(12y)(12+1×2y+(2y)2)]
=x(12y)(1+2y+4y2)
Hence, Option A is correct.

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