Question

sumar (m + 3)/(m - 3) + (m + 2)/(m - 2) ayuda porfavor​

Answer 1

Respuesta:

Quedaría así:

$\frac{-12+2m^{2}}{m^{2}-5m+6}$

Explicación paso a paso:

$= \frac{ m+3 }{ m-3 } + \frac{ m+2 }{ m-2 } \\ \\ = \frac{\left(m+3\right)\left(m-2\right)}{\left(m-3\right)\left(m-2\right)}+\frac{\left(m+2\right)\left(m-3\right)}{\left(m-3\right)\left(m-2\right)} \\ \\ = \frac{\left(m+3\right)\left(m-2\right)+\left(m+2\right)\left(m-3\right)}{\left(m-3\right)\left(m-2\right)} \\ \\ = \frac{m^{2}-2m+3m-6+m^{2}-3m+2m-6}{\left(m-3\right)\left(m-2\right)} \\ \\ = \frac{-12+2m^{2}}{\left(m-3\right)\left(m-2\right)} \\ \\ = \frac{-12+2m^{2}}{m^{2}-5m+6}$

Espero haberte ayudado '')