Question 1077729
{{{A/x+B/(x-1)+C/(x-1)^2=(x^2-x+2)/(x(x-1)^2)}}}


{{{A(x-1)^2+Bx(x-1)+C*x=x^2-x+2}}}


{{{A(x^2-2x+1)+Bx^2-Bx+Cx=x^2-x+2}}}


{{{Ax^2-2Ax+A+Bx^2-Bx+Cx=x^2-x+2}}}


{{{(A+B)x^2+(-2A-B+C)x+A}}}={{{x^2-x+2}}}


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{{{system(A+B=1,C-2A-B=-1,A=2)}}}
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{{{system(B=1-2,C-2*2-B=-1)}}}
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{{{highlight(B=-1)}}}, {{{highlight(A=2)}}}


{{{C-4-B=-1}}}
{{{C-4-(-1)=-1}}}
{{{CC-4+1=-1}}}
{{{C=-1+3}}}
{{{highlight(C=2)}}}



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CHOICE B.
{{{2/x+(-1)/(x-1)+2/(x-1)^2}}}