Chapter R5, Problem 1E

To determine

Simplify the expression $\frac{10x^3}{5x^2}$ .

Answer to Problem 1E

Solution: The simplified expression is $2x$ .

Explanation of Solution

Given: The expression $\frac{10x^3}{5x^2}$ .

Calculation:

We will do below steps to simplify the given expression.

  $\begin{array}{c}\frac{10x^3}{5x^2}\\ =\frac{10\left(x\right)\left(x^2\right)}{5x^2}\left(\text{Factor}\text{out}{x}^2\text{from}{x}^3\right)\\ =\frac{10x}{5}\left(\text{Cancel}\text{common}\text{factors}\right)\\ =2x\end{array}$

Conclusion: The simplified expression is $2x$ .