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

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Multiply and divide powers: variable bases

Full solution

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

\newline

\frac{s^2 - 9s}{s - 9}

Factor Numerator: Factor the numerator if possible. $\newline$ The numerator $s^2 - 9s$ looks like it might be factorable because both terms have an $s$ in them. Let's factor out the common $s$ . $\newline$ $s^2 - 9s = s(s - 9)$
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ We have the expression $(s(s - 9))/(s - 9)$ . The $(s - 9)$ in the numerator and the denominator are the same and can be canceled out. $\newline$ $(s(s - 9))/(s - 9) = s$
Check Restrictions: Check for any restrictions on the variable. $\newline$ We must remember that the original denominator was $s - 9$ , which means $s$ cannot be equal to $9$ because division by zero is undefined. $\newline$ So, $s \neq 9$ is a restriction on the variable.

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