# Simplify

• December 16th 2007, 10:24 AM
Chez_
Simplify
Hi, just wondered if someone could help simplyfy this
(m^2+1)^2 - (m^2-1)^2. Do i need to multiply out the brackets and them add the power and have 1 bracket? thnx
• December 16th 2007, 10:59 AM
Constatine11
Quote:

Originally Posted by Chez_
Hi, just wondered if someone could help simplyfy this
(m^2+1)^2 - (m^2-1)^2. Do i need to multiply out the brackets and them add the power and have 1 bracket? thnx

Its the difference of two squares so:

$
(m^2+1)^2 - (m^2-1)^2=[(m^2+1)-(m^2-1)][(m^2+1)+(m^2-1)]=4m^2
$

ZB