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

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Division with rational exponents

Full solution

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

\newline

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

Factor out $j$ : We have the expression $\frac{j^2 - 9j}{j - 9}$ . The first step is to factor out the common term in the numerator. $\newline$ Factor out $j$ from the numerator. $\newline$ $\frac{j(j - 9)}{j - 9}$
Cancel common factor: Now, observe that $(j - 9)$ is a common factor in both the numerator and the denominator. $\newline$ Cancel out the $(j - 9)$ term in the numerator and the denominator. $\newline$ $\frac{j(j - 9)}{j - 9} = j$
Final simplification: After canceling out the common factor, we are left with $j$ as the simplified form of the expression. $\newline$ Check for any further simplification or restrictions. Since $j$ cannot be equal to $9$ (as it would make the original denominator zero), the simplification is complete.

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