SOLUTION: 6 ___________ _ a^-3a-54 + 10 ___________ __ a^+5a-6 Hi we are talking about complex fractions. For some reason I cannot figure it out can you please he

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 6 ___________ _ a^-3a-54 + 10 ___________ __ a^+5a-6 Hi we are talking about complex fractions. For some reason I cannot figure it out can you please he      Log On


   

Question 201309: 6
_____________
a^-3a-54
+
10
______________
a^+5a-6


Hi we are talking about complex fractions. For some reason I cannot figure it out can you please help me!!! Above is a problem that was given to solve. Will you explain it please?
Thanks
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I believe you mean: (correct me if I'm wrong)
.
+6%2F%28a%5E2-3a-54%29+%2B+10%2F%28a%5E2%2B5a-6%29
.
Factoring the denominators we get:
+6%2F%28%28a-9%29%28a%2B6%29%29+%2B+10%2F%28%28a%2B6%29%28a-1%29%29
.
Now, find common denominator: (a-9)(a+6)(a-1)
and convert each term to have the same denominator:

.
Combining the two terms:
+%286%28a-1%29+%2B+10%28a-9%29%29%2F%28%28a-9%29%28a%2B6%29%28a-1%29%29
.
+%286a-6+%2B+10a-90%29%2F%28%28a-9%29%28a%2B6%29%28a-1%29%29
+%2816a-96%29%2F%28%28a-9%29%28a%2B6%29%28a-1%29%29
.
Factoring the numerator:
+16%28a-6%29%2F%28%28a-9%29%28a%2B6%29%28a-1%29%29