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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{s^2 - 6s}{5s}$

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Multiply and divide powers: variable bases

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

\newline

\frac{s^2 - 6s}{5s}

Identify common factor: Identify the common factor in the numerator. The common factor in the terms $s^2$ and $-6s$ is $s$ .
Factor out $s$ : Factor out the common factor $s$ from the numerator. $s(s - 6)$ is the factored form of the numerator $s^2 - 6s$ .
Simplify by division: Simplify the expression by dividing the numerator by the denominator. $\newline$ Since we have $s(s - 6)$ in the numerator and $5s$ in the denominator, we can divide both the numerator and the denominator by $s$ . $\newline$ $\frac{s(s - 6)}{5s} = \frac{s}{5s} \cdot (s - 6)$
Cancel out s terms: Cancel out the common s terms. $\newline$ The $s$ in the numerator and the $s$ in the denominator cancel each other out because $\frac{s}{s} = 1$ . $\newline$ $\frac{s}{5s} \cdot (s - 6) = \frac{1}{5} \cdot (s - 6)$
Distribute $\frac{1}{5}$ : Distribute the $\frac{1}{5}$ across the terms in the parentheses. $\newline$ Multiplying each term inside the parentheses by $\frac{1}{5}$ gives us the final simplified expression. $\newline$ $\frac{1}{5}$ * $(s - 6)$ = $\frac{1}{5}s - \frac{6}{5}$

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