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Question

x2+2x33x9×x29x2+2x+1 = ?

A
(x+3)2(x+1)3(x+1)2
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B
(x+3)(x1)3(x+1)2
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C
(x+3)2(x1)3(x+1)
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D
(x+3)2(x1)3(x+1)2
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Solution

The correct option is D (x+3)2(x1)3(x+1)2
x2+2x33x9×x29x2+2x+1
Factor of x2+2x3=(x+3)(x1)
Factor of x2+2x+1=(x+1)(x+1)
x29=(x+3)(x3)
So, (x+3)(x1)3(x3)×(x+3)(x3)(x+1)(x+1)
= (x+3)2(x1)3(x+1)2

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