Evaluate
3\left(a-3b\right)\left(4a-9b\right)
Expand
12a^{2}-63ab+81b^{2}
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16a^{2}-72ab+81b^{2}+a\left(9b-4a\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-9b\right)^{2}.
16a^{2}-72ab+81b^{2}+9ab-4a^{2}
Use the distributive property to multiply a by 9b-4a.
16a^{2}-63ab+81b^{2}-4a^{2}
Combine -72ab and 9ab to get -63ab.
12a^{2}-63ab+81b^{2}
Combine 16a^{2} and -4a^{2} to get 12a^{2}.
16a^{2}-72ab+81b^{2}+a\left(9b-4a\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-9b\right)^{2}.
16a^{2}-72ab+81b^{2}+9ab-4a^{2}
Use the distributive property to multiply a by 9b-4a.
16a^{2}-63ab+81b^{2}-4a^{2}
Combine -72ab and 9ab to get -63ab.
12a^{2}-63ab+81b^{2}
Combine 16a^{2} and -4a^{2} to get 12a^{2}.
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