Question 88248
{{{((-2)/(x^2+10x+24))-(4/(x+4))}}}
First step is to factor the denominator in the first term. This will simplify the
process of finding the LCD, which is necessary to perform the subtraction:
{{{((-2)/(x+4)(x+6))-(4/(x+4))}}}
Now I can see that my LCD is (x+4)(x+6), so let's rewrite the second term:
{{{((-2)/(x+4)(x+6))-(4(x+6)/(x+4)(x+6))}}}
Simplifying the 2nd term a little:
{{{((-2)/(x+4)(x+6))-((4x+24)/(x+4)(x+6)))}}}
Combine the terms:
{{{(-2-(4x+24))/(x+4)(x+6)}}}
{{{(-2-4x-24)/(x+4)(x+6)}}}
{{{highlight((-4x-26)/(x+4)(x+6))}}}
Good Luck,
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