Remember the difference of two squares?
We can factor this guy:
You've probably been told that you couldn't factor this guy...
The SUM of two squares.
Well, they fibbed... You CAN factor this guy... Just not with real numbers.
We just need one more thing though:
Squaring both sides gives
So, check this out:
I claim that
Just like the difference of two squares... but with i's after the numbers.