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