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\left(7a+9b\right)^{2}
Multiply 7a+9b and 7a+9b to get \left(7a+9b\right)^{2}.
49a^{2}+126ab+81b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(7a+9b\right)^{2}.
\left(7a+9b\right)^{2}
Multiply 7a+9b and 7a+9b to get \left(7a+9b\right)^{2}.
49a^{2}+126ab+81b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(7a+9b\right)^{2}.