Simplifying Equation

**Simplicity** · June 17th 2008, 01:19 PM

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

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

**red_dog** · June 17th 2008, 01:51 PM

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.

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