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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{29j}{j^2 - 2j}$

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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{29j}{j^2 - 2j}

Simplify fraction: Simplify the term $29j/j^2$ . To simplify a fraction with the same variable in the numerator and denominator, we subtract the exponent in the denominator from the exponent in the numerator. Since $j^2$ is $j$ to the power of $2$ , and there is an implied power of $1$ on the $j$ in the numerator, we have: $29j/j^2 = 29j^{1-2} = 29/j$
Combine terms: Combine the simplified term with the remaining term. $\newline$ Now we have two terms: $\frac{29}{j}$ and $-2j$ . Since these terms are not like terms (one is a fraction with $j$ in the denominator, and the other is a whole number times $j$ ), we cannot combine them further. The expression is already simplified as: $\newline$ $\frac{29}{j} - 2j$
Check for common factors: Check for any common factors or terms that can be combined. Upon reviewing the expression $\frac{29}{j} - 2j$ , we see that there are no common factors between the terms, and they cannot be combined any further. The expression is as simplified as it can be with the given terms.

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