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\left(5m-3n\right)^{2}
Multiply 5m-3n and 5m-3n to get \left(5m-3n\right)^{2}.
25m^{2}-30mn+9n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5m-3n\right)^{2}.
\left(5m-3n\right)^{2}
Multiply 5m-3n and 5m-3n to get \left(5m-3n\right)^{2}.
25m^{2}-30mn+9n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5m-3n\right)^{2}.