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B
(x+3)(x−1)3(x+1)2
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C
(x+3)2(x−1)3(x+1)
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D
(x+3)2(x−1)3(x+1)2
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Solution
The correct option is D(x+3)2(x−1)3(x+1)2 x2+2x−33x−9×x2−9x2+2x+1 Factor of x2+2x−3=(x+3)(x−1) Factor of x2+2x+1=(x+1)(x+1) x2−9=(x+3)(x−3) So, (x+3)(x−1)3(x−3)×(x+3)(x−3)(x+1)(x+1) =(x+3)2(x−1)3(x+1)2