Evaluate
2\left(x-4\right)^{2}+1
Expand
2x^{2}-16x+33
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2\left(x^{2}-8x+16\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
2x^{2}-16x+32+1
Use the distributive property to multiply 2 by x^{2}-8x+16.
2x^{2}-16x+33
Add 32 and 1 to get 33.
2\left(x^{2}-8x+16\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
2x^{2}-16x+32+1
Use the distributive property to multiply 2 by x^{2}-8x+16.
2x^{2}-16x+33
Add 32 and 1 to get 33.
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