a. Rút gọn biểu thức: \( \frac{{{x^2} + xy}}{{{x^2} - {y^2}}} \)
b. Thực hiện phép tính: \( \frac{{4x + 12}}{{{{ \left( {x + 1} \right)}^2}}}: \frac{{3 \left( {x + 3} \right)}}{{x + 1}} \)
c. Thực hiện phép tính: \( \frac{4}{{x + 2}} + \frac{3}{{x - 2}} + \frac{{ - 5x - 2}}{{{x^2} - 4}} \)
A.\(\begin{array}{l}a)\,\,\frac{x}{{x - y}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{2}{{x + 2}}\\b)\,\,\frac{4}{{3\left( {x + 1} \right)}}\end{array}\)
B.\(\begin{array}{l}a)\,\,\frac{x}{{x + y}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{2}{{x - 2}}\\b)\,\,\frac{4}{{3\left( {x + 1} \right)}}\end{array}\)
C.\(\begin{array}{l}a)\,\,\frac{x}{{x + y}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{2}{{x + 2}}\\b)\,\,\frac{4}{{3\left( {x + 1} \right)}}\end{array}\)
D.\(\begin{array}{l}a)\,\,\frac{x}{{x - y}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{2}{{x - 2}}\\b)\,\,\frac{4}{{3\left( {x + 1} \right)}}\end{array}\)
