SOLUTION: I think I may have asked wrong simplify/Reduce 16/x^2+2x-3 minus 4/x+3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I think I may have asked wrong simplify/Reduce 16/x^2+2x-3 minus 4/x+3      Log On


   

Question 31609: I think I may have asked wrong simplify/Reduce
16/x^2+2x-3
minus
4/x+3
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%2816%2F%28x%5E2%2B2x-3%29%29-%284%2F%28x%2B3%29%29+
Factor the Denom of the first fraction
+%2816%2F%28x%2B3%29%28x-1%29%29-%284%2F%28x%2B3%29%29+
Multiply the second fraction by +%28x-1%29%2F%28x-1%29+ to get a common denom.
+%2816%2F%28x%2B3%29%28x-1%29%29-%284%2F%28x%2B3%29%29%28%28x-1%29%2F%28x-1%29%29+
Multiply the numerator of the second fraction
+%2816%2F%28x%2B3%29%28x-1%29%29-%284%28x-1%29%2F%28x%2B3%29%28x-1%29%29+
+%2816%2F%28x%2B3%29%28x-1%29%29-%28%284x-4%29%2F%28x%2B3%29%28x-1%29%29%29+
Now that you have like denominators, subtract the numerators (WATCH YOUR SIGNS)
+%28%2816-4x%2B4%29%2F%28x%2B3%29%28x-1%29%29+
Combine like terms on top
+%28%2820-4x%29%2F%28x%2B3%29%28x-1%29%29+ You can Factor out a -4 on the top as well. Some instructors will want you to leave it alone at this point.
+%28-4%28x-5%29%29%2F%28x%2B3%29%28x-1%29+