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16-8x+8y+\left(x-y\right)^{2}
Use the distributive property to multiply -8 by x-y.
16-8x+8y+x^{2}-2xy+y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
16-8x+8y+\left(x-y\right)^{2}
Use the distributive property to multiply -8 by x-y.
16-8x+8y+x^{2}-2xy+y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.