Evaluate
-\left(2a+3b\right)^{2}+16
Expand
16-9b^{2}-12ab-4a^{2}
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16-\left(4a^{2}+12ab+9b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+3b\right)^{2}.
16-4a^{2}-12ab-9b^{2}
To find the opposite of 4a^{2}+12ab+9b^{2}, find the opposite of each term.
16-\left(4a^{2}+12ab+9b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+3b\right)^{2}.
16-4a^{2}-12ab-9b^{2}
To find the opposite of 4a^{2}+12ab+9b^{2}, find the opposite of each term.
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