Question

Subtract the rational expressionsAnswer in simplest for multiply any factors in the numerator and denominator Answers with variables in descending power and in alphabetical order

Answer 1

So here we have the rational expressions, which we're going to substract:

$\frac{x-1}{x+1}-\frac{2x+3}{2x+1}$

We're going to substract them as fractions:

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

And then distribute:

$\begin{gathered} \frac{2x^2+x-2x-1-(2x^2+3x+2x+3)}{2x^2+3x+1} \\ \\ \frac{2x^2-x-1-2x^2-5x-3}{2x^2+3x+1} \\ \\ \frac{-6x-4}{2x^2+3x+1} \\ \end{gathered}$

So that's the answer.

The numerator is -6x-4

The denominator is 2x^2+3x+1