Question 77297
If your problem looks like this:

{{{x-13/x^2-x-12+3x-3/x^2-x-12}}} then

{{{(x-x-x+3x)+(-13/x^2-3/x^2)+(-12-12)}}} group like terms

{{{2x-16/x^2-24}}} Combine like terms

{{{(x^2/x^2)2x-16/x^2-(x^2/x^2)24}}} Multiply the first term by (x/x) and the third term by (x^2/x^2)

{{{2x^3/x^2-16/x^2-24x^2/x^2}}}

{{{(2x^3-16-24x^2)/x^2}}} Combine the fractions. This is the simplified form.

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Or....

If your problem looks like:

{{{(x-13)/(x^2-x-12)+(3x-3)/(x^2-x-12)}}} then:

{{{((x-13)+(3x-3))/(x^2-x-12)}}} Combine the fractions

{{{(4x-16)/(x^2-x-12)}}} Combine like terms

{{{4(x-4)/(x^2-x-12)}}} Factor out a 4 out of the numerator

{{{4(x-4)/((x+3)(x-4))}}} factor the denominator

{{{4*cross(x-4)/((x+3)cross(x-4))}}} Cancel like terms

{{{4/(x+3)}}} This is the simplified form.