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a^{2}-2ab+ac+2ba-4b^{2}+2bc-ca+2cb-c^{2}
Apply the distributive property by multiplying each term of a+2b-c by each term of a-2b+c.
a^{2}+ac-4b^{2}+2bc-ca+2cb-c^{2}
Combine -2ab and 2ba to get 0.
a^{2}-4b^{2}+2bc+2cb-c^{2}
Combine ac and -ca to get 0.
a^{2}-4b^{2}+4bc-c^{2}
Combine 2bc and 2cb to get 4bc.
a^{2}-2ab+ac+2ba-4b^{2}+2bc-ca+2cb-c^{2}
Apply the distributive property by multiplying each term of a+2b-c by each term of a-2b+c.
a^{2}+ac-4b^{2}+2bc-ca+2cb-c^{2}
Combine -2ab and 2ba to get 0.
a^{2}-4b^{2}+2bc+2cb-c^{2}
Combine ac and -ca to get 0.
a^{2}-4b^{2}+4bc-c^{2}
Combine 2bc and 2cb to get 4bc.