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Can someone explain to me why is the answer $30b^{3}/4(a+b)$ considering that on the previous line we multiply $[5b][a+b]/{[4][6b^2]}$. It's as if we multiply the numerator of the first term with the denominator of the second term. Is there a special rule that I'm missing?

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Onyx
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1 Answers1

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The last line in the process you have described is just wrong. You seem to correctly understand that the result is $\frac{5ab+5b^2}{24b^2}$.

Eric Towers
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    So it's safe to assume that there are mistakes in the book I'm using? Because this is not the first suspicious answer that I have encountered. – Onyx Feb 28 '16 at 19:50
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    Given what you have put in your Question, there is at least one mistake in the book you are using. – Eric Towers Feb 28 '16 at 19:52