thuc hien phep tinh 2x^2-x/x-1 +x+1/1-x +2-x^2/x-1

Giải thích các bước giải:

Ta có:

\(\begin{array}{l}
\frac{{2{x^2} – x}}{{x – 1}} + \frac{{x + 1}}{{1 – x}} + \frac{{2 – x}}{{x – 1}}\\
 = \frac{{2{x^2} – x}}{{x – 1}} – \frac{{x + 1}}{{x – 1}} + \frac{{2 – x}}{{x – 1}}\\
 = \frac{{2{x^2} – x – \left( {x + 1} \right) + 2 – x}}{{x – 1}}\\
 = \frac{{2{x^2} – 3x + 1}}{{x – 1}}\\
 = \frac{{\left( {2{x^2} – 2x} \right) – \left( {x – 1} \right)}}{{x – 1}}\\
 = \frac{{2x\left( {x – 1} \right) – \left( {x – 1} \right)}}{{x – 1}}\\
 = \frac{{\left( {2x – 1} \right)\left( {x – 1} \right)}}{{\left( {x – 1} \right)}}\\
 = 2x – 1
\end{array}\)