Rút gọn phân thức: ((c^2 + 3x + 2)(x^2 - 25)) / (x^2 + 7x + 10)
Rút gọn phân thức: \(\frac{{\left( {{x^2} + 3x + 2} \right)\left( {{x^2} - 25} \right)}}{{{x^2} + 7x + 10}}\).
\(\frac{{\left( {{x^2} + 3x + 2} \right)\left( {{x^2} - 25} \right)}}{{{x^2} + 7x + 10}}\)
\( = \frac{{\left( {x + 1} \right)\left( {x + 2} \right)\left( {x - 5} \right)\left( {x + 5} \right)}}{{\left( {x + 2} \right)\left( {x + 5} \right)}}\)
= (x + 1)(x – 5)
= x2 – 4x – 5.