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4\left(9x^{2}+12xy+4y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2y\right)^{2}.
36x^{2}+48xy+16y^{2}
Use the distributive property to multiply 4 by 9x^{2}+12xy+4y^{2}.
4\left(9x^{2}+12xy+4y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2y\right)^{2}.
36x^{2}+48xy+16y^{2}
Use the distributive property to multiply 4 by 9x^{2}+12xy+4y^{2}.