Multiply and Express Product in simplest form.

**quartersworth** · February 8th 2008, 04:33 PM

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

**colby2152** · February 8th 2008, 06:16 PM

Originally Posted by quartersworth

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

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

**wingless** · February 9th 2008, 01:14 AM

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

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

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

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