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