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2\left(x^{2}-4x+4\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}-8x+8+5
Use the distributive property to multiply 2 by x^{2}-4x+4.
2x^{2}-8x+13
Add 8 and 5 to get 13.
2\left(x^{2}-4x+4\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}-8x+8+5
Use the distributive property to multiply 2 by x^{2}-4x+4.
2x^{2}-8x+13
Add 8 and 5 to get 13.