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2\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}.
8a^{2}+24ab+18b^{2}
Use the distributive property to multiply 2 by 4a^{2}+12ab+9b^{2}.
2\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}.
8a^{2}+24ab+18b^{2}
Use the distributive property to multiply 2 by 4a^{2}+12ab+9b^{2}.