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Question

(1−2x)4+4x2(1−2x)3+6x4(1−2x)2+4x6(1−2x)+x8=


A

(1-x)6

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B

(1-x)8

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C

(1-x2)4

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D

None

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Solution

The correct option is B

(1-x)8


(12x)4+4x2(12x)3+6x4(12x)2+4x6(12x)+x8=(12x+x2)4=((1x)2)4=(1x)8


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