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x^2+3x+2
x^2+(2+1)x+2
x^2+2x+x+2
x(x+2)+1(x+2)
(x+2) (x+1)
x^2+(2+1)x+2
x^2+2x+x+2
x(x+2)+1(x+2)
(x+2) (x+1)
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