Posted by jamie on Friday, July 5, 2013 at 6:39pm.
perform the subtraction
(8a+2b)/(8a^(2)+2ab3b^(2))(a+2b)/(16a^(2)ab^(2))

algebra  Reiny, Friday, July 5, 2013 at 9:05pm
I factored it to ...
2(4a+b)/( (2ab)(4a+3b) )  (a+2b)/( a(16a  b^2) )
nothing divides out, no duplication of factors,
you might just as well do
[ (8a+2b)(16a^2  ab^2)  (a+2b)(8a^2 + 2ab  3b^2) ] / [(8a^2 + 2ab  3b^2)(16a^2  ab^2) ]
expand and hope for the best
I suspect some sort of typing error.
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