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jmc

algebra junior

Problem

Simplify

\frac{2 s ^{5}}{s ^{3}} - 6 s^{2} + \frac{7 s ^{3}}{s}

.

Solution

We have

\frac{2 s ^{5}}{s ^{3}} - 6 s^{2} + \frac{7 s ^{3}}{s} = 2 s^{5 - 3} - 6 s^{2} + 7 s^{3 - 1} = 2 s^{2} - 6 s^{2} + 7 s^{2} = 3 s^{2} .

Final answer

3s^2