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100x^{2}+100xy+25y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(10x+5y\right)^{2}.
100x^{2}+100xy+25y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(10x+5y\right)^{2}.