Simplify: (x+a)^2 * (x-a) ^2

1. Feb 9, 2005

leolaw

Which is the fastest way to simplify:
$$(x+a)^2*(x-a)^2$$ to $$(x^2-a^2)^2$$ ?
thx

2. Feb 9, 2005

vsage

Think of $$(x+a)^2*(x-a)^2$$ as $$(x+a)*(x-a)*(x+a)*(x-a)$$ and $$(x^2-a^2)$$ as $$(x-a)*(x+a)$$

3. Feb 9, 2005

dextercioby

There's the fastest way
$$A^{2}\cdot B^{2}=(AB)^{2}$$