4a^2c^2(a^2-b^2+c^2)^2
First, solve the exponent around the quantity. Being that it's a power of a power, you would multiply all the exponents inside the parentheses by two. So, after that, it would be:
4a^2c^2(a^4-b^4+c^4)
Then, you would multiply what's outside the parentheses with every term within the parentheses:
(4a^6c^2)-(4a^2c^2b^4)+(4a^2c^6)
Now, you think you can take it from here, or do you need me to keep going?