Thực hiện phép tính: d) (4 − x ^2)/( x − 3) + (2 x − 2 x^ 2)/( 3 − x) + (5 − 4 x)/( x − 3) .
Giải thích
d) \[\frac{{4 - {x^2}}}{{x - 3}} + \frac{{2x - 2{x^2}}}{{3 - x}} + \frac{{5 - 4x}}{{x - 3}}\]
\[ = \frac{{4 - {x^2}}}{{x - 3}} - \frac{{2x - 2{x^2}}}{{x - 3}} + \frac{{5 - 4x}}{{x - 3}}\]
\[ = \frac{{4 - {x^2} - 2x + 2{x^2} + 5 - 4x}}{{x - 3}}\]
\[ = \frac{{{x^2} - 6x + 9}}{{x - 3}} = \frac{{{{\left( {x - 3} \right)}^2}}}{{x - 3}} = x - 3.\]