Evaluate
\left(a-4b\right)\left(3a-4b\right)
Expand
3a^{2}-16ab+16b^{2}
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9a^{2}-24ab+16b^{2}+2a\left(4b-3a\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(3a-4b\right)^{2}.
9a^{2}-24ab+16b^{2}+8ab-6a^{2}
Use the distributive property to multiply 2a by 4b-3a.
9a^{2}-16ab+16b^{2}-6a^{2}
Combine -24ab and 8ab to get -16ab.
3a^{2}-16ab+16b^{2}
Combine 9a^{2} and -6a^{2} to get 3a^{2}.
9a^{2}-24ab+16b^{2}+2a\left(4b-3a\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(3a-4b\right)^{2}.
9a^{2}-24ab+16b^{2}+8ab-6a^{2}
Use the distributive property to multiply 2a by 4b-3a.
9a^{2}-16ab+16b^{2}-6a^{2}
Combine -24ab and 8ab to get -16ab.
3a^{2}-16ab+16b^{2}
Combine 9a^{2} and -6a^{2} to get 3a^{2}.
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