Question

simplify the expression completely.
perform multiplication
\\(dfrac{2z - 6}{(z + 3)(z - 3)} cdot dfrac{5}{2}\\)
enter the result.

Explanation:

Step1: Factor numerator of first term

$2z-6 = 2(z-3)$

Step2: Rewrite the expression

$\frac{2(z-3)}{(z+3)(z-3)} \cdot \frac{5}{2}$

Step3: Cancel common factors

Cancel $2$ and $(z-3)$ from numerator/denominator
$\frac{\cancel{2}\cancel{(z-3)}}{(z+3)\cancel{(z-3)}} \cdot \frac{5}{\cancel{2}} = \frac{5}{z+3}$

Answer:

$\frac{5}{z+3}$