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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{9x^2 - 5x}{x}$

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Simplify radical expressions: mixed review

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Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9x^2 - 5x}{x}

Divide by $x$ : Simplify the expression by dividing each term by $x$ . We have the expression $\frac{9x^2 - 5x}{x}$ . To simplify, we divide each term in the numerator by the denominator $x$ .
Divide $9x^2$ : Divide $9x^2$ by $x$ . $\newline$ When we divide $9x^2$ by $x$ , we subtract the exponents of $x$ (since $x^2/x = x^{2-1} = x^1 = x$ ). $\newline$ So, $9x^2/x = 9x$ .
Divide $-5x$ : Divide $-5x$ by $x$ . $\newline$ When we divide $-5x$ by $x$ , the $x$ terms cancel out (since $-5x/x = -5$ ). $\newline$ So, $-5x/x = -5$ .
Combine results: Combine the results from Step $2$ and Step $3$ . Combining the simplified terms from the previous steps, we get $9x - 5$ .

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