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Simplify x+2x+1 - x2x+2...

Simplify x+2x+1 - x2x+2

A.

3x+1

B.

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

C.

5x+6(x+1)(x+2)

D.

2x2+5x+2(x+1)(x+2)

Correct answer is C

x+2x+1 - x2x+2 = (x+2)(x+2)(x2)(x2)(x+1)(x+1)(x+2)

= (x2+4x+4)(x2x2)(x+1)(x+2) = x2+4x+4x2+x+2(x+1)(x+2)

= 5x+6(x+1)(x+2)