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\left(10x+12y\right)^{2}
Multiply 10x+12y and 10x+12y to get \left(10x+12y\right)^{2}.
100x^{2}+240xy+144y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(10x+12y\right)^{2}.
\left(10x+12y\right)^{2}
Multiply 10x+12y and 10x+12y to get \left(10x+12y\right)^{2}.
100x^{2}+240xy+144y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(10x+12y\right)^{2}.