Simplify the expression

x2−4x+4x2−3x+2\displaystyle {\frac{{{x}^{{2}}-{4}{x}+{4}}}{{{x}^{{2}}-{3}{x}+{2}}}}

Give your answer in the form of f(x)g(x).\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.

Your answer for the function f(x)\displaystyle {f{{\left({x}\right)}}} is :  
Your answer for the function g(x)\displaystyle {g{{\left({x}\right)}}} is :  

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