# Thread: Simplifying Equation

1. ## Simplifying Equation

$4a^4m^2c^2=4a^2(b^2c^2-b^4+a^2m^2c^2-a^2m^2b^2)$

How can this be simplified to give $c^2= b^2+a^2m^2$?

2. First of all simplify by $4a^2$:
$a^2m^2c^2=b^2c^2-b^4+a^2m^2c^2-a^2m^2b^2\Rightarrow b^2c^2=b^4+a^2m^2b^2$
Now, simplify by $b^2$ and you'll get the result.