Question

Simplificar a fração

$\frac{x^2 -3mx -10 m^2}{2m^3 + m^2x + 2m+x}$

Answer 1

Olá Fllpneto!

$\\ \displaystyle \mathsf{\frac{x^2 - 3mx - 10m^2}{2m^3 + m^2x + 2m + x} =} \\\\\\ \mathsf{\frac{x^2 - 5mx + 2mx - 10m^2}{2m^3 + m^2x + 2m + x} =} \\\\\\ \mathsf{\frac{x(x - 5m) + 2m(x - 5m)}{m^2(2m + x) + 1(2m + x)} =} \\\\\\ \mathsf{\frac{(x - 5m)(x + 2m)}{(2m + x)(m^2 + 1)}} \\\\\\ \boxed{\mathsf{\frac{x - 5m}{m^2 + 1}}}$