`cccolor{#8FBC8F}{~} cccolor{#C1FFC1}{b} cccolor{#B4EEB4}{u} cccolor{#9BCD9B}{i} cccolor{#698B69}{g} cccolor{#2E8B57}{i} cccolor{#54FF9F}{a} cccolor{#4EEE94}{p} cccolor{#43CD80}{h} cccolor{#98FB98}{o} cccolor{#008B45}{n} cccolor{#00FF00}{g} cccolor{#00EE00}{9} cccolor{#00CD00}{9} cccolor{#ADFF2F}{9} cccolor{#228B22}{~}`

`a) x/(x^2-5x+6) - 2/(2-x) + x/(x-3) (x ne 2; x ne 3)`

`= x/((x-2)(x-3)) + 2/(x-2) + x/(x-3)`

`= (x+2(x-3)+x(x-2))/((x-2)(x-3))`

`= (x+2x-6+x^2-2x)/((x-2)(x-3))`

`= (x^2+x-6)/((x-2)(x-3))`

`= ((x-2)(x+3))/((x-2)(x-3))`

`= (x+3)/(x-3)`

`b) (1-3x)/(2x) + (3x-2)/(2x-1)+(3x-2)/(2x-4x^2) (xne0;xne1/2)`

`= (1-3x)/(2x) + (3x-2)/(2x-1) - (3x-2)/(2x(2x-1))`

`= ((1-3x)(2x-1)+2x(3x-2)-3x+2)/(2x(2x-1))`

`= (2x-1-6x^2+3x+6x^2-4x-3x+2)/(2x(2x-1))`

`= (-2x+1)/(2x(2x-1))`

`= (-(2x-1))/(2x(2x-1))`

`= (-1)/(2x)`

$\color{#29B6F6}{\heartsuit Phuongg \ Li nhh \heartsuit}$