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Question

Factorize the following expression
(x2+2x+1)

A
(x+1)2
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B
(x1)2
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C
(x+1)3
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D
None of these
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Solution

The correct option is A (x+1)2
Given,

x2+2x+1
split middle term i.e 2
=x2+xx+x+1 1+1=2
1+1=2
x(x+1)+(x+1)
(x+1)(x+1)
=(x+1)2 Ans

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