Question

Complete the rational operation D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{x - 5} - \frac{x}{5} " alt=" \frac{3}{x - 5} - \frac{x}{5} " align="absmiddle" class="latex-formula">

Answer 1

We have
                             3 / (x-5) - x/5
We make the GCF and we have
                                    15/[ 5(x-5) ] - x(x-5)/[ 5(x-5)]
                                  = [ 15 - x(x-5) ]  [5(x-5)]
                                  = [ 15 - x^2 + 5x] / [ 5 (x-5) ]
                                  = [15 - x^2 + 5x]/[5x - 25]
An answer to your question is (15-x^2+5x)/(5x-25)