Respuesta :

1) 2m+6 / m² + 7m - 12  +  (m+2)/(m+4)

= 2(m+3) / (m+4)(m+3)  + (m+2)/(m+4)

= 2/(m+4) + (m+2)/(m+4)

= 2+m+2 / (m+4)

= m+4 / m+4

= 1  [ Option A ]

Answer 2) 3/ (x+4)  + 7/ (x-3)

=  3(x-3) + 7(x+4)/ (x² +x - 12)

= 3x-9 + 7x + 28 / (x² +x - 12)

= 10x + 19 / (x² +x - 12)  [ Option A ]

Hope this helps!
The first one will be equal to 1

The second one is 10x+19/ (x+4)(x-3)