Evaluate
\left(3a-2b\right)^{2}-16c^{2}
Expand
9a^{2}-12ab+4b^{2}-16c^{2}
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9a^{2}-6ab-12ac-6ab+4b^{2}+8bc+12ca-8cb-16c^{2}
Apply the distributive property by multiplying each term of 3a-2b+4c by each term of 3a-2b-4c.
9a^{2}-12ab-12ac+4b^{2}+8bc+12ca-8cb-16c^{2}
Combine -6ab and -6ab to get -12ab.
9a^{2}-12ab+4b^{2}+8bc-8cb-16c^{2}
Combine -12ac and 12ca to get 0.
9a^{2}-12ab+4b^{2}-16c^{2}
Combine 8bc and -8cb to get 0.
9a^{2}-6ab-12ac-6ab+4b^{2}+8bc+12ca-8cb-16c^{2}
Apply the distributive property by multiplying each term of 3a-2b+4c by each term of 3a-2b-4c.
9a^{2}-12ab-12ac+4b^{2}+8bc+12ca-8cb-16c^{2}
Combine -6ab and -6ab to get -12ab.
9a^{2}-12ab+4b^{2}+8bc-8cb-16c^{2}
Combine -12ac and 12ca to get 0.
9a^{2}-12ab+4b^{2}-16c^{2}
Combine 8bc and -8cb to get 0.
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