Explicación paso a paso:
1. m + 2m =
m ( 1 + 2) =
3m
2. a + 2a + 9a =
a ( 1 + 2 + 9) =
12a
3. m² - 2m² - 7m² =
m² ( 1 - 2 - 7) =
-8m²
4. 6x²y² - 12x²y² + x²y² =
x²y² ( 6 - 12 + 1 ) =
-5x²y²
5. 3a - 2b - 5b + 9a =
a ( 3 + 9 ) + b ( - 2 - 5 ) =
12a - 7b
6. a² + b² - 2b² - 3a² - a² + b² =
a² ( 1 - 3 - 1 ) + b² ( 1 - 2 + 1 ) =
-3a²
7. x²yz + 3xy²z - 2xyz² - 3xy²z + xyz² - x²yz =
x²yz ( 1 - 1 ) + xy²z ( 3 - 3 ) + xyz² ( - 2 + 1 ) =
-xyz²
8. 2pq + 3p - 12q - 15q + 7pq - 13p =
pq (2 + 7 ) + p ( 3 - 13 ) + q ( -12 - 15 ) =
9pq - 10p - 27q
9. 2x - 6y - 2x - 3y - 5y =
x ( 2 - 2 ) + y ( - 6 - 3 ) =
-9y
10. 15a + 13a - 12b - 11a - 4b - b =
a ( 15 + 13 - 11 ) + b ( - 12 - 4 - 1 ) =
17a - 17b
11. a/2 + a/3 + a/4 =
6a/12 + 4a/12 + 3a/12 =
9a/12 =
3a / 4
12. a²b/5 - 2ab²/3 + 3ab²/2 - 6a²b/5 =
a²b ( 1/5 - 6/5 ) + ab² ( 2/3 + 3/2 ) =
a²b ( -5/5 ) + ab² ( 4/6 + 9/6 ) =
-a²b + 13/6 ab²
13. m - m/2 + 2m/3 - m/4 =
12m/12 - 6m/12 + 4m/12 - 3m/12 =
7m/12
14. (3a-b)/2 + (3a-b)/5 =
(a - b) (3/2 + 3/5) =
(a - b) (15/10 + 6/10) =
21a-b / 10
15. 2p + 3/4q - 7p + 3/2q =
p ( 2 - 7 ) + q ( 3/4 + 3/2 ) =
p ( 2 - 7 ) + q ( 3/4 + 6/4 ) =
-5p + 9/4q
16. a + a² + a³ + a⁴ - a - 2a² + 3a³ - 4a⁴ =
a ( 1 - 1 ) + a² ( 1 - 2 ) + a³ ( 1 + 3 ) + a⁴ ( 1 - 4 ) =
-a² + 4a³ - 3a⁴
17. 0.2m - 0.2n + 1.07m - 1.03n - m - n =
m ( 0.2 + 1.07 - 1 ) + n ( - 0.2 - 1.03 - 1 ) =
0.27m - 2.23n
18. 0.5x²y - 0.4xy² + 0.3x²y - 0.2xy² + x²y =
x²y ( 0.5 + 0.3 + 1 ) + xy² ( - 0.4 - 0.2 ) =
1.8x²y - 0.6xy²
19. 1.17a - 2.15a - 3.25a + 4.141a =
a ( 1.17 - 2.15 - 3.25 + 4.141 ) =
-0.09a
20. 1 + x + xy - 2 + 2x - 3xy - 3 + 2xy - 3x =
1 - 2 - 3 + x ( 1 + 2 - 3 ) + xy ( 1 - 3 + 2 ) =
-4
21. 1/5m²n - 2/3mn - 3/2m²n + 3/10m²n - 8/3mn =
m²n ( 1/5 - 3/2 + 3/10) + mn ( -2/3 - 8/3 ) =
m²n ( 2/10 - 15/10 + 3/10) + mn ( -2/3 - 8/3 ) =
m²n ( -10/10 ) + mn ( -10/3 ) =
-m²n - 10/3mn
22. 27/4p - 35/6q + 1/4p - 1/6q =
p ( 27/4 + 1/4 ) + q ( - 35/6 - 1/6 ) =
28/4p - 36/6q =
7p - 6q
23. u² + uv + v² - 2u² + 3uv - v² =
u² ( 1 - 2 ) + uv ( 1 + 3 ) + v² ( 1 - 1 ) =
-u² + 4uv
24. 11/3s - 3/4t + 2/3s - 1/3s - 5/3s + t + 1/4t =
s ( 11/3 + 2/3 - 1/3 - 5/3 ) + t ( - 3/4 + 1 + 1/4 ) =
s ( 7/3 ) + t ( - 3/4 + 4/4 + 1/4 ) =
7/3s + 1/2t
25. 0.117a - 0.35b - 2.25b - 1.1b + 3.04a =
a ( 0.117 + 3.04 ) + b ( -0.35 - 2.25 - 1.1 ) =
3.157a - 3.7b
26. 10a + 5a² - 13a³ - 2a - 9a³ + 16a² + a =
a ( 10 - 2 + 1 ) + a² ( 5 + 16 ) + a³ ( -13 - 9 ) =
9a + 21a² - 22a³
27. 1/6pt - 2/5p - 3/4t + 2/3pt - 3/5p + 7/4t + 1/6pt =
p ( -2/5 - 3/5 ) + pt ( 1/6 + 2/3 + 1/6 ) + t ( - 3/4 + 7/4 ) =
p ( -2/5 - 3/5 ) + pt ( 1/6 + 4/6 + 1/6 ) + t ( - 3/4 + 7/4 ) =
- p + pt + t
28. x²yz - xy²z² + xy²z² - x²y²z² =
xy²z² ( - 1 + 1 ) + x²yz - x²y²z² =
x²yz - x²y²z²
29. 3/4a²b - 2/3ab² - a²b - 3ab² + 1/2ab² =
a²b ( 3/4 - 1 ) + ab² ( - 2/3 - 3 + 1/2 ) =
a²b ( 3/4 - 4/4 ) + ab² ( - 4/6 - 18/6 + 3/6 ) =
-1/4a²b - 19/6ab²
30. 0.7m - 1/7p - 0.04m + 0.3p - 3/4p =
0.7m - 0.143p - 0.04m + 0.3p - 0.75p =
p ( - 0.143 - 0.3 - 0.75 ) + m ( 0.7 - 0.04 ) =
-1.193p + 0.66m
