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Question

Simplify: 12x+x21x3×1+x+x21+x

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Solution

12x+x21x3×1+x+x21+x
=1xx+x2(1)3(x)3×1+x+x21+x
=1(1x)x(1x)(1x){(1)2+(1)×(x)+(x)2}×(1+x+x2)1+x
=(1x)(1x)(1x)(1+x+x2)×(1+x+x2)(1+x)
=1x1+x

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