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jmc

algebra intermediate

Problem

Expand the following product:

\frac{2}{5} (\frac{5}{x} + 10 x^{2})

.

Solution

We apply the distributive property to get:

\frac{2}{5} (\frac{5}{x} + 10 x^{2}) = \frac{2}{5} \cdot \frac{5}{x} + \frac{2}{5} \cdot 10 x^{2} = \frac{2}{x} + 4 x^{2} .

Final answer

\frac{2}{x} + 4x^2