Rút gọn biểu thức ​\( \frac{{4 - {x^2}}}{{x - 3}} = \frac{{2x - 2{x^2}}}{{3 - x}} + \frac{{5 - 4x}}{{x - 3}}\)

* Hướng dẫn giải

 \(\begin{array}{*{20}{l}} {\frac{{4 - {x^2}}}{{x - 3}} = \frac{{2x - 2{x^2}}}{{3 - x}} + \frac{{5 - 4x}}{{x - 3}}}\\ { = \frac{{4 - {x^2}}}{{x - 3}} - \frac{{2x - 2{x^2}}}{{x - 3}} + \frac{{5 - 4x}}{{x - 3}}}\\ { = \frac{{4 - {x^2} - 2x + 2{x^2} + 5 - 4x}}{{x - 3}}}\\ { = \frac{{{x^2} - 6x + 9}}{{x - 3}} = \frac{{{{(x - 3)}^2}}}{{x - 3}} = x - 3} \end{array}\)