SOLUTION: ab+b^2 ------- 4ab^5 ------ a+b ---- 6a^2b^4 Thank you for all your help!

Question 203467This question is from textbook
: ab+b^2
-------
4ab^5
------
a+b
----
6a^2b^4

Thank you for all your help! This question is from textbook

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(ab+b^2) / (4ab^5) /(a+b) / (6a^2b^4)
.
as with fractions, invert and multiply,,,last two divisors
.
[(ab+b^2) / (4ab^5)] * [ 6a^2b^4 / (a+b) ]
.
factor
.
[ (b)(a+b) / (4ab^5) ] * [ (6a^2b^4) / (a+b) ]
.
simplify by cancelling like terms
,
(6a)/4
.
(3/2)a,,,,,(3a)/2
.
check,,,Let a=1,,,b=2,,,,both original and answer = 3/2,,,ok
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