Question

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -r(r-9) $$

Short answer

The expression \(-r(r-9)\) without parentheses is \(-r^2 + 9r\).

Step-by-step solution

Distribute -r to each term inside the parentheses

In order to rewrite the expression without parentheses, distribute \(-r\) to each of the terms inside the parenthesis: \[ -r \cdot r + -r \cdot -9)\]

Multiply

Now, perform the multiplication operation for both terms: \[ -r^2 + 9r \]

Simplify if possible

In this case, the equation is already in its simplest form, so there is no further simplification available. The rewritten expression without parentheses is thus:\[ -r^2 + 9r \]