SOLUTION: ab+ b^2 _______ 4ab^5 ________ a+b ______ 6a^2b^4

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Question 120835: ab+ b^2
_______
4ab^5
________
a+b
______
6a^2b^4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28ab%2B+b%5E2%29%29%2F%28%284ab%5E5%29%29
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%28%28a%2Bb%29%29%2F%28%286a%5E2b%5E4%29%29
:
When you divide, you invert the dividing fraction and multiply
%28%28ab%2B+b%5E2%29%29%2F%28%284ab%5E5%29%29 * %28%286a%5E2b%5E4%29%29%2F%28%28a%2Bb%29%29
:
Factor out b in the 1st numerator
%28b%28a%2B+b%29%29%2F%28%284ab%5E5%29%29 * %28%286a%5E2b%5E4%29%29%2F%28%28a%2Bb%29%29
:
Cancel (a+b)'s
%28b%29%2F%28%284ab%5E5%29%29 * %286a%5E2b%5E4%29
:
Cancel b in the 1st numerator into the denominator
1%2F%28%284ab%5E4%29%29 * %286a%5E2b%5E4%29 = %28%286a%5E2b%5E4%29%29%2F%28%284ab%5E4%29%29
:
Cancel 2ab^4 out of the denominator
%28%283a%29%29%2F2 is the simplified fraction