# Simplify the below equation

• Feb 19th 2011, 09:13 AM
hoanghai549
Simplify the below equation
(k-4)/(K^2+5K+6) * (k^2+8K+12)/(K^2-10K+24)
• Feb 19th 2011, 09:18 AM
e^(i*pi)
You can factor all those expressions to make life simpler

$\dfrac{(k-4)}{(k+3)(k+2)} \cdot \dfrac{(k+6)(k+2)}{(k-6)(k-4)}$

As long as $k \neq -2, -3, 4, 6$ you can do some cancelling
• Feb 19th 2011, 09:22 AM
FernandoRevilla
Deleted by repetition.
• Feb 19th 2011, 09:23 AM
FernandoRevilla
That is not an equation but a rational fraction. To simplify, decompose the second degree polynomials, for example $k^2-10k+24=(k-4)(k-6)$ .

Fernando Revilla

Edited: Sorry, I didn`t see e^(i*pi)'s post.