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Question

Simplify 1(x+1)(x+2)+1(x+2)(x+3)+1(x+2)(x+3)

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

The correct option is D 3(x+1)(x+3)
1(x+1)(x+2)+1(x+2)(x+3)+1(x+3)(x+1)=x+3+x+1+x+2(x+1)(x+2)(x+3)

=3x+6(x+1)(x+2)(x+3)

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

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