Ejercicio de matemáticas realizar todo con todos los pasos

Como estas:

Responderé a los dos primeros ejercicios:

Ejercicio: 1 

Sumando:

Ejercicio: 2

Multiplicando:

Eso es todo. Espero puedas entender. Recuerda que solo resolvemos un ejercicio por pregunta. No te olvides puntuar la respuesta. Si deseas que te resuelva los otros ejercicios envíalo como otra pregunta...

Ejercicio 3: 

(-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10) (6 m^5 n^6 p^7-4 m^6 n^7 p^8) = 6 m^5 n^6 p^7 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10):
6 m^5 n^6 p^7 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 m^5 n^6 p^7 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10) = 6 m^5 n^6 p^7 (-8 m^7 n^8 p^9)+6 m^5 n^6 p^7×6 m^8 n^9 p^10+6 m^5 n^6 p^7 (-5 m^9 n^10 p^10):
-8×6 m^5 n^6 p^7 m^7 n^8 p^9+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 m^5 n^6 p^7 (-8) m^7 n^8 p^9 = 6 m^(5+7) n^(6+8) p^(7+9) (-8):
-8×6 m^(5+7) n^(6+8) p^(7+9)+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
5+7 = 12:
-8×6 m^12 n^(6+8) p^(7+9)+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6+8 = 14:
-8×6 m^12 n^14 p^(7+9)+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
7+9 = 16:
-8×6 m^12 n^14 p^16+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 (-8) = -48:
-48 m^12 n^14 p^16+6×6 m^5 n^6 p^7 m^8 n^9 p^10-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 m^5 n^6 p^7×6 m^8 n^9 p^10 = 6×6 m^(5+8) n^(6+9) p^(7+10):
-48 m^12 n^14 p^16+6×6 m^(5+8) n^(6+9) p^(7+10)-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
5+8 = 13:
-48 m^12 n^14 p^16+6×6 m^13 n^(6+9) p^(7+10)-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6+9 = 15:
-48 m^12 n^14 p^16+6×6 m^13 n^15 p^(7+10)-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
7+10 = 17:
-48 m^12 n^14 p^16+6×6 m^13 n^15 p^17-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6×6 = 36:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-5×6 m^5 n^6 p^7 m^9 n^10 p^10-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 m^5 n^6 p^7 (-5) m^9 n^10 p^10 = 6 m^(5+9) n^(6+10) p^(7+10) (-5):
-48 m^12 n^14 p^16+36 m^13 n^15 p^17+-5×6 m^(5+9) n^(6+10) p^(7+10)-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
5+9 = 14:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-5×6 m^14 n^(6+10) p^(7+10)-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6+10 = 16:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-5×6 m^14 n^16 p^(7+10)-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
7+10 = 17:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-5×6 m^14 n^16 p^17-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
6 (-5) = -30:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17+-30 m^14 n^16 p^17-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10)
-4 m^6 n^7 p^8 (-8 m^7 n^8 p^9+6 m^8 n^9 p^10-5 m^9 n^10 p^10) = -4 m^6 n^7 p^8 (-8 m^7 n^8 p^9)-4 m^6 n^7 p^8×6 m^8 n^9 p^10-4 m^6 n^7 p^8 (-5 m^9 n^10 p^10):
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+-4 (-8) m^6 n^7 p^8 m^7 n^8 p^9-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
-4 m^6 n^7 p^8 (-8) m^7 n^8 p^9 = -4 m^(6+7) n^(7+8) p^(8+9) (-8):
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+-4 (-8) m^(6+7) n^(7+8) p^(8+9)-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
6+7 = 13:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17-4 (-8) m^13 n^(7+8) p^(8+9)-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
7+8 = 15:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17-4 (-8) m^13 n^15 p^(8+9)-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
8+9 = 17:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17-4 (-8) m^13 n^15 p^17-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
-4 (-8) = 32:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-4×6 m^6 n^7 p^8 m^8 n^9 p^10-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
-4 m^6 n^7 p^8×6 m^8 n^9 p^10 = -4 m^(6+8) n^(7+9) p^(8+10)×6:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17+-4×6 m^(6+8) n^(7+9) p^(8+10)-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
6+8 = 14:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-4×6 m^14 n^(7+9) p^(8+10)-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
7+9 = 16:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-4×6 m^14 n^16 p^(8+10)-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
8+10 = 18:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-4×6 m^14 n^16 p^18-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
-4×6 = -24:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17+-24 m^14 n^16 p^18-4 (-5) m^6 n^7 p^8 m^9 n^10 p^10
-4 m^6 n^7 p^8 (-5) m^9 n^10 p^10 = -4 m^(6+9) n^(7+10) p^(8+10) (-5):
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18+-4 (-5) m^(6+9) n^(7+10) p^(8+10)
6+9 = 15:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18-4 (-5) m^15 n^(7+10) p^(8+10)
7+10 = 17:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18-4 (-5) m^15 n^17 p^(8+10)
8+10 = 18:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18-4 (-5) m^15 n^17 p^18
-4 (-5) = 20:
-48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18+20 m^15 n^17 p^18
Grouping like terms, -48 m^12 n^14 p^16+36 m^13 n^15 p^17-30 m^14 n^16 p^17+32 m^13 n^15 p^17-24 m^14 n^16 p^18+20 m^15 n^17 p^18 = 20 m^15 n^17 p^18-24 m^14 n^16 p^18-30 m^14 n^16 p^17+(36 m^13 n^15 p^17+32 m^13 n^15 p^17)-48 m^12 n^14 p^16:
20 m^15 n^17 p^18-24 m^14 n^16 p^18-30 m^14 n^16 p^17+(36 m^13 n^15 p^17+32 m^13 n^15 p^17)-48 m^12 n^14 p^16
36 (m^13 n^15 p^17)+32 (m^13 n^15 p^17) = 68 (m^13 n^15 p^17):
Answer: | 
| 20 m^15 n^17 p^18-24 m^14 n^16 p^18-30 m^14 n^16 p^17+68 m^13 n^15 p^17-48 m^12 n^14 p^16