Evaluate
6ab+\left(2a-3b\right)^{2}
Expand
4a^{2}-6ab+9b^{2}
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4a^{2}-12ab+9b^{2}+6ab
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-3b\right)^{2}.
4a^{2}-6ab+9b^{2}
Combine -12ab and 6ab to get -6ab.
4a^{2}-12ab+9b^{2}+6ab
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-3b\right)^{2}.
4a^{2}-6ab+9b^{2}
Combine -12ab and 6ab to get -6ab.
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