The expression (2ab - 3b²)/(3b - 4a) cannot be simplified further as there are no common factors between the numerator and denominator. The attempt to rewrite the expression as 2ab/(4a - 3b) - b does not yield a simpler form. The conclusion is that the original expression is already in its simplest form, confirming that no additional factoring or manipulation is possible.
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There are no factors that are common to both the numerator and denominator, so I don't see that ##\frac{2ab - 3b^2}{3b^2 - 4a}## can be simplified at all.e^(i Pi)+1=0 said:I managed to get it down to 2ab/(4a-3b)-b, but that doesn't seem very simplified to me. I also added and subtracted terms in the numerator to make it factorable, ect but nothings really worked out.