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x^{2}+10xy+25y^{2}-2\left(x+5y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5y\right)^{2}.
x^{2}+10xy+25y^{2}-2x-10y
Use the distributive property to multiply -2 by x+5y.
x^{2}+10xy+25y^{2}-2\left(x+5y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5y\right)^{2}.
x^{2}+10xy+25y^{2}-2x-10y
Use the distributive property to multiply -2 by x+5y.