SOLUTION: Can you please break this down for me & show step by step? I am a visual learner and the book is not helping me on this. Thanks Find the product or quotient. 35a + 280 divi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please break this down for me & show step by step? I am a visual learner and the book is not helping me on this. Thanks Find the product or quotient. 35a + 280 divi      Log On


   

Question 328472: Can you please break this down for me & show step by step? I am a visual learner and the book is not helping me on this. Thanks
Find the product or quotient.
35a + 280 divide a^2 - 64
__________ __________
7a - 35 divide a^2-a-20
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the product or quotient:
:
%2835a+%2B+280%29%2F%28a%5E2+-+64%29
-----------------
%287a+-+35%29%2F%28a%5E2-a-20%29
:
each expression can be factored here
%2835%28a+%2B+8%29%29%2F%28%28a-8%29%28a%2B8%29%29
-----------------
%287%28a+-+5%29%29%2F%28a-5%29%28a%2B4%29%29
:
we can cancel some of this immediately, cancel (a+8) and (a-5)
%2835%29%2F%28%28a-8%29%29
-----------------
%287%29%2F%28%28a%2B4%29%29
:
Invert the dividing fraction and multiply
%2835%29%2F%28%28a-8%29%29 * %28a%2B4%29%2F7
:
Cancel 7 into 35
%285%29%2F%28%28a-8%29%29 * (a+4) = %285%28a%2B4%29%29%2F%28%28a-8%29%29 or %285a%2B20%29%2F%28%28a-8%29%29