Question

ayuda ((x+2)(x+3)/x)-((x+4)^2/2x)

Answer 1

$\frac{\left(x+2\right)\left(x+3\right)}{x}-\frac{\left(x+4\right)^2}{2x}$
$\mathrm{Encontrar\:el\:minimo\:comun\:denominador\:para}\:\frac{\left(x+2\right)\left(x+3\right)}{x}-\frac{\left(x+4\right)^2}{2x}:\quad 2x$
$\mathrm{Reescribir\:las\:fracciones\:basandose\:en\:el\:minimo\:comun\:denominador}$
$=\frac{\left(x+2\right)\left(x+3\right)\cdot \:2}{2x}-\frac{\left(x+4\right)^2}{2x}$
$=\frac{2\left(x+2\right)\left(x+3\right)-\left(x+4\right)^2}{2x}$
$=\frac{2x^2+10x+12-x^2-8x-16}{2x}$
$=\frac{x^2+2x-4}{2x}$