Question

Olá, pessoal.

Alguém poderia me ajudar com os exercícios abaixo?
Simplificar: 4/xy-x+y/3x e 4/1-x+5/1+x.

Muito obrigada!

Answer 1

Boa noite!


Solução!

$A)\\\\ \dfrac{4}{ \dfrac{1-x}{ \dfrac{x+y}{3x} } } \\\\\\\\ \dfrac{4}{1-x}\times \dfrac{3x}{x+y}\\\\\\ \dfrac{12 x }{x+y- x^{2} -xy } \\\\\\ \dfrac{12x}{(x- x^{2} +y-xy) }\\\\\\ \dfrac{12x}{x(1-x)+y(1-x) }\\\\\\ \dfrac{12x}{(x+y).(1-x)}$




$b)\\\\\\ \dfrac{4}{ \dfrac{1-x}{ \dfrac{5}{1+x} } }\\\\\\\ \dfrac{4}{1-x}\times \dfrac{1+x}{5}\\\\\\\ \dfrac{4+4x}{5-5x}$


Boa noite!
Bons estudos!