Simplify. ((r+3)(r-3))/(r+3)^2

Answer 1

To simplify the expression \(\frac{(r+3)(r-3)}{(r+3)^2}\), we can start by canceling the common factor of \(r + 3\) in the numerator and denominator.

1. Rewrite the expression: \[ \frac{(r + 3)(r - 3)}{(r + 3)(r + 3)} \]

2. Cancel one \(r + 3\) from the numerator and the denominator: \[ \frac{r - 3}{r + 3} \quad (r + 3 \neq 0) \]

So the simplified expression is: \[ \frac{r - 3}{r + 3} \quad (r \neq -3) \]