SOLUTION: Do the operations and simpify! a+3 ------- 36-a^2 multiplied by 4a-24 ------ 4a+12 a) -1/a-6 b) 1/a+6 c) 1/a-6 d) -1/a+6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Do the operations and simpify! a+3 ------- 36-a^2 multiplied by 4a-24 ------ 4a+12 a) -1/a-6 b) 1/a+6 c) 1/a-6 d) -1/a+6      Log On


   

Question 183087: Do the operations and simpify!
a+3
-------
36-a^2
multiplied by
4a-24
------
4a+12
a) -1/a-6
b) 1/a+6
c) 1/a-6
d) -1/a+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28a%2B3%29%2F%2836-a%5E2%29%29%28%284a-24%29%2F%284a%2B12%29%29 Start with the given expression.


%28%28a%2B3%29%2F%28-%28a-6%29%28a%2B6%29%29%29%28%284a-24%29%2F%284a%2B12%29%29 Factor 36-a%5E2 to get -%28a-6%29%28a%2B6%29.


%28%28a%2B3%29%2F%28-%28a-6%29%28a%2B6%29%29%29%28%284%28a-6%29%29%2F%284a%2B12%29%29 Factor 4a-24 to get 4%28a-6%29.


%28%28a%2B3%29%2F%28-%28a-6%29%28a%2B6%29%29%29%28%284%28a-6%29%29%2F%284%28a%2B3%29%29%29 Factor 4a%2B12 to get 4%28a%2B3%29.


%284%28a%2B3%29%28a-6%29%29%2F%28-4%28a-6%29%28a%2B6%294%28a%2B3%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


-1%2F%28a%2B6%29 Simplify.


So %28%28a%2B3%29%2F%2836-a%5E2%29%29%28%284a-24%29%2F%284a%2B12%29%29 simplifies to -1%2F%28a%2B6%29.


So the answer is D)