# Math Help - Multiply and Express Product in simplest form.

1. ## Multiply and Express Product in simplest form.

(x-3 / 2)^3 * (1 / x - 3)^2

2. Originally Posted by quartersworth
(x-3 / 2)^3 * (1 / x - 3)^2
$(\frac{x-3}{2})^3(\frac{1}{x-3})^2 = \frac{x-3}{2}$

3. Originally Posted by colby2152
$(\frac{x-3}{2})^3(\frac{1}{x-3})^2 = \frac{x-3}{2}$
Hmm.. You miss that ${\left( \frac{x-3}{2} \right ) }^3 = \frac{(x-3)^3}{8}$

It has to be, ${\left( \frac{x-3}{2} \right ) }^3 {\left ( \frac{1}{x-3} \right ) }^2$

$\frac{(x-3)^3}{8} \frac{1}{(x-3)^2}$

$\frac{x-3}{8}$