[tex]x^2-4x+3=(x^2-2*2*x+2^2)-1=(x-2)^2-1[/tex]
[tex]x^2-4x+3=x^2 -2\cdot x\cdot 2+2^2-1=(x-2)^2-1[/tex]
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[tex]x^2-4x+3=(x^2-2*2*x+2^2)-1=(x-2)^2-1[/tex]
[tex]x^2-4x+3=x^2 -2\cdot x\cdot 2+2^2-1=(x-2)^2-1[/tex]