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Question

Factorize : x2+a2+1ax+1

A
(2x+1a)(xa)
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B
(x+1a)(x+a)
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C
(5x+1a)(xa)
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D
(7x+1a)(x+a)
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Solution

The correct option is C (x+1a)(x+a)
x2+a2+1ax+1
=x2+ax+xa+1
=x2+xa+ax+1
=x(x+1a)+a(x+1a)
=(x+1a)(x+a)

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