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Question

Simplify: 1x2+3x+2+1x2+5x+62x2+4x+3

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Solution

Given, 1x2+3x+2+1x2+5x+62x2+4x+3

=1(x+1)(x+2)+1(x+2)(x+3)1(x+1)(x+3)

=x+3+x+1(x+2)(x+4)(x+2)(x+3)

=x+2(x+1)(x+2)(x+3)

=1(x+1)(x+3)

=1x2+4x+3

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