The problem
Click to see the original problem
How did you get the third step?
Answer provided by our tutors
We need to factor the denominator:
x^2 + x - 2
To do so instead of "x" we write "- x + 2x" (since x = 2x - x = -x + 2) and we have
x^2 + x - 2 = x^2 - x + 2x - 2 = (x^2 - x) + (2x - 2)
We grouped the terms and pull in front "x" and "2" so we have
(x^2 - x) + (2x - 2) =
= x(x - 1) + 2(x - 1) =
= (x - 1)(x + 2)