X/x-1 - (-2)/x+1 subtract and simplify

Question

asked Sep 15, 2021 208k views

1 Answer

Ralf Renz · Answer 1 · 2021-09-20T18:42:20+0000

Answer:
(x^2+3x-2)/((x-1)(x+1))

Explanation:

(x)/(x-1) - (-2)/(x+1)

To simplify this, we must first set the fractions' denominators to match.

We can do this by multiplying each fraction by the other's denominator, as follows:

(x(x+1))/((x-1)(x+1)) - (-2(x-1))/((x-1)(x+1))

Then, you can subtract them, keeping the denominators the same:

(x(x+1)+2(x-1))/((x-1)(x+1))

Them, simplify the equation:

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

This is the most simplified form of this expression, as the quadratic expression in the numerator cannot be factored.