Comparte esto 👍👍
PRELIMINARES

Reducción de más de dos términos semejantes de signos distintos
Ejercicio 9
Para resolver este grupo de ejercicios, reducimos todos los términos positivos y los términos negativos, después realizamos la suma algebraica de ambos.
  1. 9a3a+5a=(9a+5a ) 3a=14a3a=11a
  2. 8x+9xx=(8xx ) +9x)=9x+9x=0
  3. 12mn23mn5mn=(23mn5mn ) +12mn=28mn+12mn=16mn
  4. x+19x18x=(x18x ) +19x=19x+19x=0
  5. 19m10m+6m=(19m+6m ) 10m=15m10m=5m
  6. 11ab15ab+26ab=(11ab15ab ) +26ab=26ab+26ab=0
  7. 5 a x +9a x 35a x =(5a x 35a x ) +9a x =40a x +9a x =31a x
  8. 24 a x+2 15a x+2 +39a x+2 =(24a x+2 15a x+2 ) +39a x+2 =39a x+2 +39a x+2 =0
  9. 2 3 y+ 1 3 yy=( 2 3 y+ 1 3 y ) y=( 2y+y 3 ) y=yy=0
  10. 3 5 m+ 1 4 m 1 2 m=( 3 5 m 1 2 m ) + 1 4 m=( 6m5m 10 ) + 1 4 m= 11 10 m+ 1 4 m= 22m+5m 20 = 17m 20
  11. 3 8 a 2 b+ 1 4 a 2 b a 2 b=( 3 8 a 2 b+ 1 4 a 2 b ) a 2 b=( 3 a 2 b+2 a 2 b 8 ) a 2 b= 5 8 a 2 b a 2 b= 5 a 2 b8 a 2 b 8 = 3 a 2 b 8
  12. a+8a+9a15a=(a15a ) +(8a+9a ) =16a+17a=a
  13. 7ab11ab+20ab31ab=(11ab31ab ) +(7ab+20ab ) =42ab+27ab=15ab
  14. 25 x 2 50x 2 +11x 2 +4x 2 =(25 x 2 +11x 2 +4x 2 ) 50x 2 =40x 2 50x 2 =10x 2
  15. xy8xy+19xy+40xy=(xy8xy ) +(19xy+40xy ) =9xy+59xy=50xy
  16. 7ab+21abab80ab=(ab80ab ) +(7ab+21ab ) =81ab+28ab=53ab
  17. 25x y 2 +11x y 2 +60x y 2 82x y 2 =(25x y 2 82x y 2 ) +(11x y 2 +60x y 2 ) =107x y 2 +71x y 2 =36x y 2
  18. 72ax+87ax101ax+243ax=(72ax101ax ) +(87ax+243ax ) =173ax+330ax=157ax
  19. 82bx71bx53bx+206bx=(82bx71bx53bx ) +206bx=206bx+206bx=0
  20. 105 a 3 464a 3 +58a 3 +301a 3 =(105a 3 +58a 3 +301a 3 ) 464a 3 =464a 3 464a 3 =0
  21. 1 2 x 1 3 x+ 1 4 x 1 5 x=( 1 3 x 1 5 x ) +( 1 2 x+ 1 4 x ) = 5x3x 15 + 2x+x 4 = 8 15 x+ 3 4 x= 32x+45x 60 = 13x 60
  22. 1 3 y 1 3 y+ 1 6 y 1 12 y=( 1 3 y 1 12 y ) +( 1 3 y+ 1 6 y ) = 4yy 12 + 2y+y 6 = 5 12 y+ y 2 = 5y+6y 12 = y 12
  23. 3 5 a 2 b 1 6 a 2 b+ 1 3 a 2 b a 2 b=( 1 6 a 2 b a 2 b ) +( 3 5 a 2 b+ 1 3 a 2 b ) = a 2 b6 a 2 b 6 + 9 a 2 b+5 a 2 b 15 = 7 a 2 b 6 + 14 a 2 b 15 = 35 a 2 b+28 a 2 b 30 = 7 a 2 b 30
  24. 5 6 a b 2 1 6 a b 2 +a b 2 3 8 a b 2 =( 5 6 a b 2 1 6 a b 2 3 8 a b 2 ) +a b 2 = 20a b 2 4a b 2 9a b 2 24 +a b 2 = 11a b 2 8 +a b 2 = 11a b 2 +8a b 2 8 = 3a b 2 8
  25. a+8a11a+15a75a=(a11a75a ) +(8a+15a ) =87a+23a=64a
  26. 7c+21c+14c30c+82c=(7c30c ) +(21c+14c+82c ) =37c+117c=80c
  27. mn+14mn31mnmn+20mn=(mn31mnmn ) +(14mn+20mn ) =33mn+34mn=mn
  28. a 2 y7a 2 y93a 2 y+51a 2 y+48a 2 y=(7a 2 y93a 2 y ) +(a 2 y+51a 2 y+48a 2 y ) =100a 2 y+100a 2 y=0
  29. a+aa+a3a+6a=(aa3a ) +(a+a+6a ) =5a+8a=3a
  30. 1 2 x+ 2 3 x 7 6 x+ 1 2 xx=( 7 6 xx ) +( 1 2 x+ 2 3 x+ 1 2 x ) = 7x6x 6 + 3x+4x+3x 6 = 13x 6 + 10x 6 = 13x+10x 6 = 3x 6 = x 2
  31. 2x+ 3 4 x+ 1 4 x+x 5 6 x=(2x 5 6 x ) +( 3 4 x+ 1 4 x+x ) = 12x5x 6 + 3x+x+4x 4 = 17x 6 +2x= 17x+12x 6 = 5x 6
  32. 7 a x 30a x 41a x 9a x +73a x =(30a x 41a x 9a x ) +(7a x +73a x ) =80a x +80a x =0
  33. a x+1 +7a x+1 11a x+1 20a x+1 +26a x+1 =(a x+1 11a x+1 20a x+1 ) +(7a x+1 +26a x+1 ) =32a x+1 +33a x+1 =a x+1
  34. a+6a20a+150a80a+31a=(20a80a ) +(a+6a+150a+31a ) =100a+188a=88a
  35. 9b11b17b81bb+110b=(9b11b17b81bb ) +110b=119b+110b=9b
  36. a 2 b+15 a 2 b+ a 2 b85 a 2 b131 a 2 b+39 a 2 b=( a 2 b85 a 2 b131 a 2 b ) +(15 a 2 b+ a 2 b+39 a 2 b ) =217 a 2 b+55 a 2 b=162 a 2 b
  37. 84 m 2 x501m 2 x604m 2 x715m 2 x+231m 2 x+165m 2 x=(501m 2 x604m 2 x715m 2 x ) +(84m 2 x+231m 2 x+165m 2 x ) =1820m 2 x+480m 2 x=1340m 2 x
  38. 5 6 a 3 b 2 + 2 3 a 3 b 2 1 4 a 3 b 2 5 8 a 3 b 2 +4a 3 b 2 =( 1 4 a 3 b 2 5 8 a 3 b 2 ) +( 5 6 a 3 b 2 + 2 3 a 3 b 2 +4a 3 b 2 ) = 7 a 3 b 2 8 + 33 a 3 b 2 6 = 21 a 3 b 2 +132a 3 b 2 24 = 37 a 3 b 2 8
  39. 40a81a+130a+41a83a91a+16a=(81a83a91a ) +(40a+130a+41a+16a ) =255a+227a=28a
  40. 21ab+52ab60ab+84ab31abab23ab=(21ab60ab31abab23ab ) +(52ab+84ab ) = 136ab + 136ab =0