Question

simplique a fração algébrica

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\dfrac{2}{x^2 + 4x} - \dfrac{8}{x^2 - 16} + \dfrac{3}{x^2 - 4x}}$

$\mathsf{\dfrac{2}{x(x + 4)} - \dfrac{8}{(x + 4).(x - 4)} + \dfrac{3}{x(x - 4)}}$

$\mathsf{\dfrac{2(x - 4) - 8x + 3(x + 4)}{x(x + 4).(x - 4)}}$

$\mathsf{\dfrac{(2x - 8) - 8x + (3x + 12)}{x(x + 4).(x - 4)}}$

$\mathsf{\dfrac{-3x + 4}{x(x^2 - 16)}}$

$\boxed{\boxed{\mathsf{\dfrac{-3x + 4}{x^3 - 16x}}}}$