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16x^{2}-16x+4-2\left(4x-2\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-2\right)^{2}.
16x^{2}-16x+4-8x+4+4
Use the distributive property to multiply -2 by 4x-2.
16x^{2}-24x+4+4+4
Combine -16x and -8x to get -24x.
16x^{2}-24x+8+4
Add 4 and 4 to get 8.
16x^{2}-24x+12
Add 8 and 4 to get 12.
16x^{2}-16x+4-2\left(4x-2\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-2\right)^{2}.
16x^{2}-16x+4-8x+4+4
Use the distributive property to multiply -2 by 4x-2.
16x^{2}-24x+4+4+4
Combine -16x and -8x to get -24x.
16x^{2}-24x+8+4
Add 4 and 4 to get 8.
16x^{2}-24x+12
Add 8 and 4 to get 12.