Simplify this rational expression?

Question

2x - 1/ x^2 - x - 12 + x + 1/x^2 + x - 6

The problem calls for just the numerator but, give full answer.

Answer 1

get rid of the 1/x^2 s because one's positive and one's negative

then you have 2x-x-12+x+x-6
which is (2x-x+x+x)+(-12-6)
which is 3x-18
so your answer is 3x-18
which is 3(x-6)

Answer 2

2x - 1/ x²- x - 12 + x + 1/x² + x - 6

Combine terms

2x - x - 12 + x + x - 6

3x - 18

3(x - 6)
.