SOLUTION: If a+b = c prove by direct substitution that a^4 + b ^4+ c^4-2b^2c^2-2c^2a^2-2a^2b^2 = 0

Question 53521: If a+b = c prove by direct substitution that
a^4 + b ^4+ c^4-2b^2c^2-2c^2a^2-2a^2b^2 = 0
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
This problem is easy to get lost doing, so I broke it up into smaller problems and then grouped all my like terms vertically in a table. Unfortunately, I can't put tables into my responses. Hopefully, I can be organized enough that you don't get lost.
First, substitute (a+b) everywhere that you have a c in the problem.

This is where I broke the problem up into smaller problems:

---------------------------
If you don't know the formula for this you can just distribute:

-------------------------------------
Substitute those back into the problem and you have:

0=0
I hope I caught all of my type-0's. Happy studying!
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