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\left(\left(-x\right)^{2}+4\left(-x\right)+4\right)\times 2-\frac{1}{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-x+2\right)^{2}.
\left(x^{2}+4\left(-x\right)+4\right)\times 2-\frac{1}{3}
Calculate -x to the power of 2 and get x^{2}.
2x^{2}+8\left(-x\right)+8-\frac{1}{3}
Use the distributive property to multiply x^{2}+4\left(-x\right)+4 by 2.
2x^{2}+8\left(-x\right)+\frac{23}{3}
Subtract \frac{1}{3} from 8 to get \frac{23}{3}.
2x^{2}-8x+\frac{23}{3}
Multiply 8 and -1 to get -8.
\left(\left(-x\right)^{2}+4\left(-x\right)+4\right)\times 2-\frac{1}{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-x+2\right)^{2}.
\left(x^{2}+4\left(-x\right)+4\right)\times 2-\frac{1}{3}
Calculate -x to the power of 2 and get x^{2}.
2x^{2}+8\left(-x\right)+8-\frac{1}{3}
Use the distributive property to multiply x^{2}+4\left(-x\right)+4 by 2.
2x^{2}+8\left(-x\right)+\frac{23}{3}
Subtract \frac{1}{3} from 8 to get \frac{23}{3}.
2x^{2}-8x+\frac{23}{3}
Multiply 8 and -1 to get -8.