Thread: Simplifying Equation

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

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

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