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Question
Subtract:
\[\frac{ab}{7} - \frac{35}{3}bc + \frac{6}{5}ac \text { from } \frac{3}{5}bc - \frac{4}{5}ac\]
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Solution
\[ \left( \frac{3}{5}bc - \frac{4}{5}ac \right) - \left( \frac{ab}{7} - \frac{35}{3}bc + \frac{6}{5}ac \right)\]
\[ = \frac{3}{5}bc - \frac{4}{5}ac - \frac{ab}{7} + \frac{35}{3}bc - \frac{6}{5}ac\]
\[ = \frac{3}{5}bc + \frac{35}{3}bc - \frac{4}{5}ac - \frac{6}{5}ac - \frac{ab}{7} (\text { Collecting like terms })\]
\[ = \frac{184}{15}bc - 2ac - \frac{ab}{7} (\text { Combining like terms })\]
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