Question

A soma $\frac{4}{x}$ + $\frac{3}{x - 2}$ é igual a:

a) $\frac{x + 3}{x(x - 2)}$

b) $\frac{7x - 8}{x - 2}$

c) $\frac{x + 4}{x - 2}$

d) $\frac{7x - 8}{x(x - 2)}$

Answer 1

$\dfrac{4}{x} + \dfrac{3}{x - 2}$

mmc = $x^2 - 2x$

$\dfrac{4x - 2+ 3x - 6 }{x^2 - 2x} \\ \\ \\ \dfrac{7x - 8}{x^2 - 2} \\ \\ \\ => \dfrac{7x - 8}{x(x - 2)}$


Resposta letra d)   $\dfrac{7x - 8}{x(x - 2)}$