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EJERCICIO 9


   Reducir.-

1. 9ª-3ª+5ª=
  6ª+5ª=11ª

2. -8x+9x-x=
   -1x+x=0

3. 12mn-23mn-5mn=
   -11mn-5mn=-16mn

4. –x+19x-18x=
   18x-18x=0

5. 19m-10m+6m=
  9m+6m=15m

6. -11ab-15ab+26ab=
   -26ab+26ab=0

7. -5a×+9a×-35a×=
   4a×-35a×=-31a×
8. -24                     =

  -39     +39a      =0
9°                    =0

      =               =0

10°                        =

              =                        =                 =   =



11°                            =

                  =                    =                 =   =



12°                                =
          =
          =
          =
13°                                        =
              =
                      =
                  =
14°                                            =0
                           =                        =0
15°                                        =
=                   =
16°                                            =
                  =
                  =
                      =
17. -         +            +               -
                                   =
18. -72ax+87ax-101ax+243ax
     -173ax+330ax=157ax
19. -82bx-71bx-53bx+206bx
     -206bx+206bx= 0

20.      -                +            +
          -               =0

21.
                                       x
                      =

22.


                      =
23.


                      =

24.




             =

25) –a + 8a – 11a + 15a – 75a = (8a + 15a) + (-a – 11a –8a 75a)

= 23a – 87a = -64a

26) -7c + 21c + 14c – 30c + 82c = (14c + 21c + 82c) + (-7c – 30c)

= 117c – 37c = 80c

27) –mn + 14mn – 31mn – mn + 20mn = (14mn + 20mn) + (- 31mn – mn -

mn)

=34mn – 33mn = mn




                                                                    2 2 3 2
28) a2y – 7a2y – 93a2y + 51 a2y + 48 a2y = (a2y + 51 a2y + 48   1 1 3 3

a2y) + (-7 a2y - 93 a2y)                                            1

= 100 a2y - 100 a2y = 0

29) –a +a –a +a -3a +6a= (+a +a +6a) + (-a –a – 3a) =8a – 5a = 3a


30) x + x - x + x – x + x -x = ( x + x + x) + (- x – x)
                                                                4   4     6   2

=(         x) + (     x)=   x-   x=       x=    x=     x        2   2     3   2

                                                                1   16 3      3
31) -2x + x + x + x - x = ( x + x + x) + (-2- x ) = - x = - x                     12
                                                                1   1     1

32) 7a× - 30a× - 41a× - 9a× + 73a× = (7a× + 73a×) + (- 30a× -

41a× - 9a×)

= 80a× -80a× = 0

33.-
                             =
34.- a+6a-20a+150a-80a+31a
       150a-80a+31a-20a+6a+a=88a
35.- -9b-11b-17b-b+110b=
       110b-81b-17b-11b-b=9b


36.- -a2b+15a2 b+a2 b-85a2b -131a2b+39a2b
-131a2b-85a2b+39a2b+15a2b+a2b-a2b= -162a2b


37.-84m2x-501m2x-604m2x-715m2x+231m2x+165m2x
-715m2x-604m2x-501m2x+231m2x + 165m2x + 84m2x= 1340m2x



38.-     a3b2 + a3b2 - a3b2 - a3b2 + 4a3b2

4 a3b2 + a3b2 – a3b2 + a3b2 –       =    a3b2 = 4 a3b2



39.- 40a -81a + 130a +41a -83a -91a +16a
130a -91a -83a -81a + 41a +40a +16a = -28a



40.- -21ab+52ab-60ab+84ab-31ab-ab-23ab

       -136ab+136ab= 0
EJERCICIO 10

1. - 7a -9b +6a -4b = 13a-13b
7a + 6a=13a

-9b – 4b= -13b



2.- a + b –c –b –c +2c –a = 0

a-a= 0

b-b= 0

-c-c= -2c + 2c = 0



3.- 5x -11y -9 +20x -1 –y = 25x -12y -10

-5x + 20x= 25x

-11y – y = -12y

-9 -1 = -10



4.- -6m +8n +5 –m –n -6m -11= -13m +7n -6

-6m –m -6m = -13m

8n –n = 7n

5 -11 = -6
5.- -a +b +2b -2c +3a+2c -3b= 2a

-a +3a= 2a

b+2b -3b = 0

-2c +2c = 0



6.- -81x +19y -30z +6y +80x +x -25y= -30z

-81x +80x +x= -81x +81x = 0

+19y +6y = 25y -25y = 0

-30z



7.- 15aᶻ -6ab -8aᶻ +20 -5ab -31 +aᶻ -ab= 8aᶻ -12ab -11

15aᶻ -8aᶻ = -7aᶻ +aᶻ = 8aᶻ

-6ab -5ab –ab = -12ab

20 -31 = -11



8.- -3a +4b -6a +81b -114b +31a -a -b = 21a-30b

-3a -6a=-9a +31a =22a –a = 21a

4b +81b = 85b -114b = -29b –b = -30b
9.-          b




      =



10.- -a+b-c+8+2a+2b-19-2c-3a-3-3b+3c

      -4a+2a= -2a

      -3b+3b= 0

      -3c+3c=0

      8-22= -14

= -2a-14



11.-



      71mn-65mn= 6mn




12.-
-19+50= 31




13.-




-115+90= -25

=-25



14.-




-11+8= -3
15.- 0.3a+0.4b+0.5c-0.6a-0.7b-0.9c+3a-3b-3c

   3.3a-0.6a = 2.7a

0.4b-3.7b= -3.3b

0.5c-3.9c= -3.4c

= 2.7a-3.3b-3.4c



16.- 1/2a+1/3b+2a-3b-3/4a-1/6b+3/4-1/2        2 1 4 2


                    a                         1 1 2 2 =2x2


                                              1 1 1          =4


       ¾-1/2 = ¼

= 7/4a -17/6b+1/4                             3 2 6               2

                                              3 1 3               3 = 2x3

                                              1 1 1                =6



17.-

                                                     5 10 2

                                                 5       5         5 = 2x5

                                                     1       1        =10
18.-
                          4 3 2

                          2 3 2

                          1 3 3

                          1 1

                         =2x2x3 =12


=                     2 41 2

                      1 2 12

            6 6 1 2   1 1 1

            3 3 1 3   = 2x2 =4

            1 1 1

            =2x3 =6




19.-




31-6 = 25
20.-
                    25 5 1 5

                    5 1 1 5

                    1 1 1

                    =5x5 =25
       50 25 5 2

       25 25 5 5

       5   5 1 5

       1   1 1

       =2x5x5 =50

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Ejercicio 9 y 10 libro de baldor

  • 1. EJERCICIO 9 Reducir.- 1. 9ª-3ª+5ª= 6ª+5ª=11ª 2. -8x+9x-x= -1x+x=0 3. 12mn-23mn-5mn= -11mn-5mn=-16mn 4. –x+19x-18x= 18x-18x=0 5. 19m-10m+6m= 9m+6m=15m 6. -11ab-15ab+26ab= -26ab+26ab=0 7. -5a×+9a×-35a×= 4a×-35a×=-31a× 8. -24 = -39 +39a =0
  • 2. =0 = =0 10° = = = = = 11° = = = = = 12° = = = = 13° = = = = 14° =0 = =0 15° =
  • 3. = = 16° = = = = 17. - + + - = 18. -72ax+87ax-101ax+243ax -173ax+330ax=157ax 19. -82bx-71bx-53bx+206bx -206bx+206bx= 0 20. - + + - =0 21. x = 22. =
  • 4. 23. = 24. = 25) –a + 8a – 11a + 15a – 75a = (8a + 15a) + (-a – 11a –8a 75a) = 23a – 87a = -64a 26) -7c + 21c + 14c – 30c + 82c = (14c + 21c + 82c) + (-7c – 30c) = 117c – 37c = 80c 27) –mn + 14mn – 31mn – mn + 20mn = (14mn + 20mn) + (- 31mn – mn - mn) =34mn – 33mn = mn 2 2 3 2
  • 5. 28) a2y – 7a2y – 93a2y + 51 a2y + 48 a2y = (a2y + 51 a2y + 48 1 1 3 3 a2y) + (-7 a2y - 93 a2y) 1 = 100 a2y - 100 a2y = 0 29) –a +a –a +a -3a +6a= (+a +a +6a) + (-a –a – 3a) =8a – 5a = 3a 30) x + x - x + x – x + x -x = ( x + x + x) + (- x – x) 4 4 6 2 =( x) + ( x)= x- x= x= x= x 2 2 3 2 1 16 3 3 31) -2x + x + x + x - x = ( x + x + x) + (-2- x ) = - x = - x 12 1 1 1 32) 7a× - 30a× - 41a× - 9a× + 73a× = (7a× + 73a×) + (- 30a× - 41a× - 9a×) = 80a× -80a× = 0 33.- = 34.- a+6a-20a+150a-80a+31a 150a-80a+31a-20a+6a+a=88a
  • 6. 35.- -9b-11b-17b-b+110b= 110b-81b-17b-11b-b=9b 36.- -a2b+15a2 b+a2 b-85a2b -131a2b+39a2b -131a2b-85a2b+39a2b+15a2b+a2b-a2b= -162a2b 37.-84m2x-501m2x-604m2x-715m2x+231m2x+165m2x -715m2x-604m2x-501m2x+231m2x + 165m2x + 84m2x= 1340m2x 38.- a3b2 + a3b2 - a3b2 - a3b2 + 4a3b2 4 a3b2 + a3b2 – a3b2 + a3b2 – = a3b2 = 4 a3b2 39.- 40a -81a + 130a +41a -83a -91a +16a 130a -91a -83a -81a + 41a +40a +16a = -28a 40.- -21ab+52ab-60ab+84ab-31ab-ab-23ab -136ab+136ab= 0
  • 7. EJERCICIO 10 1. - 7a -9b +6a -4b = 13a-13b 7a + 6a=13a -9b – 4b= -13b 2.- a + b –c –b –c +2c –a = 0 a-a= 0 b-b= 0 -c-c= -2c + 2c = 0 3.- 5x -11y -9 +20x -1 –y = 25x -12y -10 -5x + 20x= 25x -11y – y = -12y -9 -1 = -10 4.- -6m +8n +5 –m –n -6m -11= -13m +7n -6 -6m –m -6m = -13m 8n –n = 7n 5 -11 = -6
  • 8. 5.- -a +b +2b -2c +3a+2c -3b= 2a -a +3a= 2a b+2b -3b = 0 -2c +2c = 0 6.- -81x +19y -30z +6y +80x +x -25y= -30z -81x +80x +x= -81x +81x = 0 +19y +6y = 25y -25y = 0 -30z 7.- 15aᶻ -6ab -8aᶻ +20 -5ab -31 +aᶻ -ab= 8aᶻ -12ab -11 15aᶻ -8aᶻ = -7aᶻ +aᶻ = 8aᶻ -6ab -5ab –ab = -12ab 20 -31 = -11 8.- -3a +4b -6a +81b -114b +31a -a -b = 21a-30b -3a -6a=-9a +31a =22a –a = 21a 4b +81b = 85b -114b = -29b –b = -30b
  • 9. 9.- b = 10.- -a+b-c+8+2a+2b-19-2c-3a-3-3b+3c -4a+2a= -2a -3b+3b= 0 -3c+3c=0 8-22= -14 = -2a-14 11.- 71mn-65mn= 6mn 12.-
  • 11. 15.- 0.3a+0.4b+0.5c-0.6a-0.7b-0.9c+3a-3b-3c 3.3a-0.6a = 2.7a 0.4b-3.7b= -3.3b 0.5c-3.9c= -3.4c = 2.7a-3.3b-3.4c 16.- 1/2a+1/3b+2a-3b-3/4a-1/6b+3/4-1/2 2 1 4 2 a 1 1 2 2 =2x2 1 1 1 =4 ¾-1/2 = ¼ = 7/4a -17/6b+1/4 3 2 6 2 3 1 3 3 = 2x3 1 1 1 =6 17.- 5 10 2 5 5 5 = 2x5 1 1 =10
  • 12. 18.- 4 3 2 2 3 2 1 3 3 1 1 =2x2x3 =12 = 2 41 2 1 2 12 6 6 1 2 1 1 1 3 3 1 3 = 2x2 =4 1 1 1 =2x3 =6 19.- 31-6 = 25
  • 13. 20.- 25 5 1 5 5 1 1 5 1 1 1 =5x5 =25 50 25 5 2 25 25 5 5 5 5 1 5 1 1 1 =2x5x5 =50