Evaluate
4\left(\left(x-1\right)^{2}+1\right)
Expand
4x^{2}-8x+8
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4\left(x^{2}-2x+1\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
4x^{2}-8x+4+4
Use the distributive property to multiply 4 by x^{2}-2x+1.
4x^{2}-8x+8
Add 4 and 4 to get 8.
4\left(x^{2}-2x+1\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
4x^{2}-8x+4+4
Use the distributive property to multiply 4 by x^{2}-2x+1.
4x^{2}-8x+8
Add 4 and 4 to get 8.
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