a)
b) Áp dụng kết quả câu a) ta có:
MTC \(= 2{x^3} + 3{x^2} - 29x + 30\)
\(\displaystyle {x \over {2{x^2} + 7x - 15}} \)\(\,\displaystyle= {{x\left( {x - 2} \right)} \over {\left( {2{x^2} + 7x - 15} \right)\left( {x - 2} \right)}} \)\(\,\displaystyle= {{{x^2} - 2x} \over {2{x^3} + 3{x^2} - 29x + 30}} \)
\(\displaystyle {{x + 2} \over {{x^2} + 3x - 10}} \)\(\,\displaystyle = {{\left( {x + 2} \right)\left( {2x - 3} \right)} \over {\left( {{x^2} + 3x - 10} \right)\left( {2x - 3} \right)}}\)\(\,\displaystyle = {{2{x^2} + x - 6} \over {2{x^3} + 3{x^2} - 29x + 30}} \)
