# ration expressions

• September 15th 2009, 05:46 AM
michaelmitchell
ration expressions
x2+x-12 . x2^ - 2x-3
x-3 x2^+5x+4

the 2^ is to the second power
• September 15th 2009, 05:52 AM
Hello michaelmitchell
Quote:

Originally Posted by michaelmitchell
x2+x-12 . x2^ - 2x-3
x-3 x2^+5x+4

the 2^ is to the second power

I'm guessing that you mean:

Simplify $\frac{x^2+x-12}{x-3}\cdot\frac{x^2-2x-3}{x^2+5x+4}$

In which case you factorise the quadratic expressions to get:

$\frac{(x-3)(x+4)}{x-3}\cdot\frac{(x-3)(x+1)}{(x+4)(x+1)}$

and then divide out the common factors to get

$\frac{x+4}{1}\cdot\frac{x-3}{x+4}$

and simplify further to get

$x-3$