Question 152967
Subtract

{{{5/(X^2+ 6x+5)-2/(X^2+10 +25)}}}

{{{5/((x + 5) (x + 1))-2/((x + 5) (x + 5))}}}

{{{(5(x + 5)  -   2(x + 1))  /((x + 5)^2(x+1))}}} 
<pre><font size = 4 color = "indigo"><b>
You've done just fine to here. You only need two
more steps.

Now use the distributive principle to remove the 
parentheses in the NUMERATOR, but DO NOT multiply 
the DENOMINATOR out:

{{{(5x + 25  -   2x - 2)  /((x + 5)^2(x+1))}}}
      
Combine like terms in the numerator:

{{{(3x + 23)  /((x + 5)^2(x+1))}}}

Leave it just like that.

Edwin</pre>