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x^{2}-4x+4+\left(y-1\right)^{2}\times 259
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4+\left(y^{2}-2y+1\right)\times 259
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-1\right)^{2}.
x^{2}-4x+4+259y^{2}-518y+259
Use the distributive property to multiply y^{2}-2y+1 by 259.
x^{2}-4x+263+259y^{2}-518y
Add 4 and 259 to get 263.
x^{2}-4x+4+\left(y-1\right)^{2}\times 259
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4+\left(y^{2}-2y+1\right)\times 259
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-1\right)^{2}.
x^{2}-4x+4+259y^{2}-518y+259
Use the distributive property to multiply y^{2}-2y+1 by 259.
x^{2}-4x+263+259y^{2}-518y
Add 4 and 259 to get 263.