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-2\left(x^{2}-4x+4\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-2x^{2}+8x-8-2
Use the distributive property to multiply -2 by x^{2}-4x+4.
-2x^{2}+8x-10
Subtract 2 from -8 to get -10.
-2\left(x^{2}-4x+4\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-2x^{2}+8x-8-2
Use the distributive property to multiply -2 by x^{2}-4x+4.
-2x^{2}+8x-10
Subtract 2 from -8 to get -10.