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4x^{2}-14x+13
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4x^{2}-14x+13
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4\left(x^{2}-4x+4\right)+2x-3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
4x^{2}-16x+16+2x-3
Use the distributive property to multiply 4 by x^{2}-4x+4.
4x^{2}-14x+16-3
Combine -16x and 2x to get -14x.
4x^{2}-14x+13
Subtract 3 from 16 to get 13.
4\left(x^{2}-4x+4\right)+2x-3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
4x^{2}-16x+16+2x-3
Use the distributive property to multiply 4 by x^{2}-4x+4.
4x^{2}-14x+16-3
Combine -16x and 2x to get -14x.
4x^{2}-14x+13
Subtract 3 from 16 to get 13.
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