SOLUTION: 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))}}}

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 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))}}}       Log On


   

Question 152967: Subtract
5%2F%28X%5E2%2B+6x%2B5%29-2%2F%28X%5E2%2B10+%2B25%29
5%2F%28%28x+%2B+5%29+%28x+%2B+1%29%29-2%2F%28%28x+%2B+5%29+%28x+%2B+5%29%29
%285%28x+%2B+5%29++-+++2%28x+%2B+1%29%29++%2F%28%28x+%2B+5%29%5E2%28x%2B1%29%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract
5%2F%28X%5E2%2B+6x%2B5%29-2%2F%28X%5E2%2B10+%2B25%29
5%2F%28%28x+%2B+5%29+%28x+%2B+1%29%29-2%2F%28%28x+%2B+5%29+%28x+%2B+5%29%29
%285%28x+%2B+5%29++-+++2%28x+%2B+1%29%29++%2F%28%28x+%2B+5%29%5E2%28x%2B1%29%29 

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:

%285x+%2B+25++-+++2x+-+2%29++%2F%28%28x+%2B+5%29%5E2%28x%2B1%29%29
      
Combine like terms in the numerator:

%283x+%2B+23%29++%2F%28%28x+%2B+5%29%5E2%28x%2B1%29%29

Leave it just like that.

Edwin