Can anyone simplify this polynomial identity?

(a^2 + b^2)^3 = (a^2 – b^2)^3 + (2ab)^3 is the identity; I need to simplify it using something like the distributive property, but am kind of unsure of how to do this (or even if it's possible--I had to write the identity myself...)
Any help is much appreciated.

Question

Can anyone simplify this polynomial identity?

(a^2 + b^2)^3 = (a^2 – b^2)^3 + (2ab)^3 is the identity; I need to simplify it using something like the distributive property, but am kind of unsure of how to do this (or even if it's possible--I had to write the identity myself...)
Any help is much appreciated.

kittiwitti1 · Answer

$$\left(a^{2}+b^{2}\right)^{3}\rightarrow\left(a^{2}-b^{2}\right)^{3}+(2ab)^{3}$$This?

anonymous · Answer

@kittiwitti1 Yes! That would be it.

kittiwitti1 · Answer

Hmm. Well... do you know the formulaic process for a normal square? $$\text{ e.g. }(a+b)^{3}$$

kittiwitti1 · Answer

Here's a link if you're confused http://www.purplemath.com/modules/specfact2.htm

anonymous · Answer

@kittiwitti1 I'm pretty much new to all of this--I'll check out the link, though, hopefully that will help a bit.

kittiwitti1 · Answer

No problem ☺