Question

\frac{x+1}{\:x-1}+\sqrt{5}.\frac{x+1}{2\sqrt{5}}

Answer 1

Respuesta:

$\frac{x^{2}+2x+2 }{2x-2}$

Explicación paso a paso:

$\frac{x+1}{x-1}+\sqrt{5}.\frac{x+1}{2\sqrt{5}}$

$\frac{x+1}{x-1}+1.\frac{x+1}{2.1}$

$\frac{x+1}{x-1}+\frac{x+1}{2}$

$\frac{(x+1)2+ (x+1)(x-1)}{(x-1)2}$

$\frac{2x+1+x.x - 1.x + 1.x + 1.1 }{2(x-1)}$

$\frac{2x+1+x^{2}-x+x+1}{2(x-1)}$

$\frac{2x+1+x^{2}+1 }{2(x-1)}$

$\frac{x^{2} + 2x+2}{2x-2}$