Question

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

Answer 1

Answer: $\frac{x^2+3x-2}{(x-1)(x+1)}$

Step-by-step explanation:

$\frac{x}{x-1} - \frac{-2}{x+1}$

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:

$\frac{x(x+1)}{(x-1)(x+1)} - \frac{-2(x-1)}{(x-1)(x+1)}$

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

$\frac{x(x+1)+2(x-1)}{(x-1)(x+1)}$

Them, simplify the equation:

$\frac{x^2+3x-2}{(x-1)(x+1)}$

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