Question 323754:  1.  x2 + 7x + 12= 
2.  x2 + 13x + 36= 
3.  m2 + 8mn + 15n2= 
4.  a2 + 5ab + 6b2= 
5.  x2 – 8x + 15= 
6.  p2 + 6pq + 8q2=
 
 
a)  6x2 + 7x +2= 
b)  8x2 – 2= 
c)  6m2 + 15mn – 9n2= 
d)  6x2 – 41x -7= 
e)  2x2 + 4x – 6= 
f)  2x2 + x – 1= 
a)  x2 + 14x + = 
b)  x2 + 6x +  =        
c)  x2 + 5x +  =         
d)  25x2 + 10x =	
 
a)  x2 – x – 6= 
b)  x2 – 3x – 28= 
c)  x2 + 5x – 14= 
d)  b2 – 7b-10= 
1. x2 -7x +12 = 
2. x2 + 4x -12 = 
3. x2 – 21x -100= 
4. x2 – 21x -72= 
5. 8x2 + 10x -3= 
6. 9a2 – 15a -6= 
7. 20 + 6x -2x2= 
8. a2 -  5 a + 1= 
           6       6 
9.  c2 + 5c -24= 
10. x2 – 20x + __________  = ___________ 
11. x4 – 8x2 + __________  = ___________ 
12. a2 + 5ab – 14b2 = 
13. x2 – xy – 30y2 = 
14. ax2 +40x + 100 = 
15. 120y2 – 22xy + x2 = 
16. 3x2 – 21x + 36= 
17. 4a2 + 2a – 6 = 
18. 30b2 –b -20 = 
19. a2 + 12a +35 = 
20. y2 – 8y + 15 = 
21. y2 +  4 y + ____________ = ____________ 
22. x2 + 5x +   ____________ = _____________ 
a)  6x2  x  15xyz   = 
     5z	  9x2y3 
b)  a2 -81  x   4a2     = 
      2a        a2+92 
c)   5p       x   4p2–28p = 
     p2 -49		20p2 
d)  m2 – 100	  x  2m       = 
      2m+20	    m2-10m 
e)  212+21 x  12-3t     = 
       212		 12-2t-3
 
a)    6x2 – 15xyz = 
      5z     9x2y3
 
b)   a2–81 -  4a2       = 
      2a       a2+9a  
c)    5p    -   4p2–28p = 
     p2 – 49      20p2
 
d)     m2-100  -       2m     = 
      2m + 20     m2 – 10m
 
e)  212 – 2t   -    t2 – 3t   =  
        2t2                 t2– 2t – 3
 
 
2x  +  x2+x 
x+1   x+5 
5x +10 +  3x+6   
x2 -1         x + 1
 
a)   6a2    + 3a =  
      5b2     10b
 
b)   12x3  +   18x2y  = 
      7y2	     21y2z
 
c)  25ab   +  10b = 
     a2-c2         a+c
 
d)  6t – 9  +  4t2-9 =  
       6t          10t2 
e)  x2-10x+27  +   x2-3x = 
         8x2                       2x 
d) 6b2     +     12b      =  
    2b-10	     b2+4b-45
 
a)  3a  +   2a = 
      5        5 
b)  6m   +   8m  = 
      11        11 
c)   7x   -   2x  = 
     10       10     
 
d)   18xy  -    11xy = 
        7             7
 
e)  4x+3   +   3x+4 = 
     x+2          x+2
 
f)  -6m  +   m-10 = 
    m -5      m-5
 
 
1.  1 +  1 – x  -    2__  =   
     x    x2 – 2x   x + 1
 
2.     x        -        3    +2 = 
     2x2 –x-1    1-2x-x2 
3.     1        +      3   -    2   = 
       x2+4x+3    x2 – 1   x + 3 
B. Efectué las siguientes operaciones: 
a) (x-2   +    x + 2  ) .   x2 – 9 = 
      x2-4       x2 –x-6      4x – 10
 
b)   x – 2  +   x + 2 _ *  x2 – 9  = 
     x2 – 4      x2– x – 6   4x – 10
 
c)   2x + 6  *   x + 3  +   x – 7  = 
    x2 – 9         x – 7          5
 
C. Realice:
 
a)   ax2+5   °l°   a3x2 +5a2  = 
     4a2 – 1      2a – 1 
b)  _ n2 – 49   °l°    n2 + 2n – 35 = 
      2n – 14               2n 
c)   x2+13x+12   °l°    (x + 1)= 
         x + 2
 
d  (  a + 7  )3   °l°  (  a + 7 )2 
         3                      2 
e)   y2 – 36   °l°    y2 – 6y  = 
      3y + 18            3y
 
f)     10a2                   °l°          5a3          = 
   a2 –8ab + 16b2               a2 – 4ab2
 
g) (c + 3)  °l°  c2+c – 6  = 
                       c + 2
 
g) ( sx – 3)4   °l°   (  2x – 3)3 = 
          2                   2
 
 
1. 2x2, 6xy = 
2. x + 3, x – 3= 
3. x2 – y2, x2 + 2xy + y2= 
4. m – 6, m + 6 = 
5. x2 + 3x +2, x2 – 4 
6. 2x2 +5x+2, 2x2 -x-1= 
7. a (b – 1), 8(1 –b)= 
8. y3 – y2,y4 – y2 =
 
a) (       1            +           1    )  (   b   ) = 
       b3+b2 -6b          b3 – 6b2            b - 2
 
b) (         1           -         x      )  (        1         ) = 
      x2 + 10x + 25     x2  - 25        x2 + 10x +25
 
c) (     1       +         c      ) (    1    ) = 
      c2 + c        c2 + 2c +1     c2 - 1
 
 
 
1.  (x + 8) (x + 6) : 0
 
2.  (x + 12) (x – 11): 0
 
3.  y(y – 13):0
 
4. (7x – 28) (28x – 7):0
 
5. 1 x  ( 2 x – 12 ):0 
    2       3
 
1.  6x2 + x : 2
 
2.  3x2 + 8x -35: 0
 
3.  3x2 + 8x + 3 : 0
 
4.  (x + 4) (x – 4): 8(x – 2) 
 
5.  123x2 : 0
 
6.  8x2 : 24x + 2
 
1) (a – 3) (a + 5): 
 
2) x (x + 5) : 0
 
3) 0: y (y + 10)
 
4) 2x (3x - 2) : 0
 
5) ( 1 – 3x) ( 1 – 2x) :0 
      3             5
 
6) x2 – 8 : 0
 
7) 12y2 – 5y :2
 
8) 64m2 : 81
 
9) x2 – 3x : 0
 
10) 2y2 + 12y:10
 
11) 100t2: 49
 
12) x2 – 4 – 3 (x –2)2:0
 
13) 4x (x –20) +5:0
 
14) 8x2 + x : 0
 
15) 5x (x –2) +6:0
 
16) 2x2 – 8 : 0
 
17) 3x2 + 12 : 0
 
1. x2 +6x +5 : 0
 
2. x2 +7x+6 : 0
 
3. x2 +7x – 18 : 0
 
4. x2 +4x – 21 : 0
 
5. b2 – 8b + 15 : 0
 
6. x2 – 9x + 14 : 0
 
 
 
1.  x2 + 7x + 12= 
2.  x2 + 13x + 36= 
3.  m2 + 8mn + 15n2= 
4.  a2 + 5ab + 6b2= 
5.  x2 – 8x + 15= 
6.  p2 + 6pq + 8q2=
 
 
a)  6x2 + 7x +2= 
b)  8x2 – 2= 
c)  6m2 + 15mn – 9n2= 
d)  6x2 – 41x -7= 
e)  2x2 + 4x – 6= 
f)  2x2 + x – 1= 
a)  x2 + 14x + = 
b)  x2 + 6x +  =        
c)  x2 + 5x +  =         
d)  25x2 + 10x =	
 
a)  x2 – x – 6= 
b)  x2 – 3x – 28= 
c)  x2 + 5x – 14= 
d)  b2 – 7b-10= 
1. x2 -7x +12 = 
2. x2 + 4x -12 = 
3. x2 – 21x -100= 
4. x2 – 21x -72= 
5. 8x2 + 10x -3= 
6. 9a2 – 15a -6= 
7. 20 + 6x -2x2= 
8. a2 -  5 a + 1= 
           6       6 
9.  c2 + 5c -24= 
10. x2 – 20x + __________  = ___________ 
11. x4 – 8x2 + __________  = ___________ 
12. a2 + 5ab – 14b2 = 
13. x2 – xy – 30y2 = 
14. ax2 +40x + 100 = 
15. 120y2 – 22xy + x2 = 
16. 3x2 – 21x + 36= 
17. 4a2 + 2a – 6 = 
18. 30b2 –b -20 = 
19. a2 + 12a +35 = 
20. y2 – 8y + 15 = 
21. y2 +  4 y + ____________ = ____________ 
22. x2 + 5x +   ____________ = _____________ 
a)  6x2  x  15xyz   = 
     5z	  9x2y3 
b)  a2 -81  x   4a2     = 
      2a        a2+92 
c)   5p       x   4p2–28p = 
     p2 -49		20p2 
d)  m2 – 100	  x  2m       = 
      2m+20	    m2-10m 
e)  212+21 x  12-3t     = 
       212		 12-2t-3
 
a)    6x2 – 15xyz = 
      5z     9x2y3
 
b)   a2–81 -  4a2       = 
      2a       a2+9a  
c)    5p    -   4p2–28p = 
     p2 – 49      20p2
 
d)     m2-100  -       2m     = 
      2m + 20     m2 – 10m
 
e)  212 – 2t   -    t2 – 3t   =  
        2t2                 t2– 2t – 3
 
 
2x  +  x2+x 
x+1   x+5 
5x +10 +  3x+6   
x2 -1         x + 1
 
a)   6a2    + 3a =  
      5b2     10b
 
b)   12x3  +   18x2y  = 
      7y2	     21y2z
 
c)  25ab   +  10b = 
     a2-c2         a+c
 
d)  6t – 9  +  4t2-9 =  
       6t          10t2 
e)  x2-10x+27  +   x2-3x = 
         8x2                       2x 
d) 6b2     +     12b      =  
    2b-10	     b2+4b-45
 
a)  3a  +   2a = 
      5        5 
b)  6m   +   8m  = 
      11        11 
c)   7x   -   2x  = 
     10       10     
 
d)   18xy  -    11xy = 
        7             7
 
e)  4x+3   +   3x+4 = 
     x+2          x+2
 
f)  -6m  +   m-10 = 
    m -5      m-5
 
 
1.  1 +  1 – x  -    2__  =   
     x    x2 – 2x   x + 1
 
2.     x        -        3    +2 = 
     2x2 –x-1    1-2x-x2 
3.     1        +      3   -    2   = 
       x2+4x+3    x2 – 1   x + 3 
B. Efectué las siguientes operaciones: 
a) (x-2   +    x + 2  ) .   x2 – 9 = 
      x2-4       x2 –x-6      4x – 10
 
b)   x – 2  +   x + 2 _ *  x2 – 9  = 
     x2 – 4      x2– x – 6   4x – 10
 
c)   2x + 6  *   x + 3  +   x – 7  = 
    x2 – 9         x – 7          5
 
C. Realice:
 
a)   ax2+5   °l°   a3x2 +5a2  = 
     4a2 – 1      2a – 1 
b)  _ n2 – 49   °l°    n2 + 2n – 35 = 
      2n – 14               2n 
c)   x2+13x+12   °l°    (x + 1)= 
         x + 2
 
d  (  a + 7  )3   °l°  (  a + 7 )2 
         3                      2 
e)   y2 – 36   °l°    y2 – 6y  = 
      3y + 18            3y
 
f)     10a2                   °l°          5a3          = 
   a2 –8ab + 16b2               a2 – 4ab2
 
g) (c + 3)  °l°  c2+c – 6  = 
                       c + 2
 
g) ( sx – 3)4   °l°   (  2x – 3)3 = 
          2                   2
 
 
1. 2x2, 6xy = 
2. x + 3, x – 3= 
3. x2 – y2, x2 + 2xy + y2= 
4. m – 6, m + 6 = 
5. x2 + 3x +2, x2 – 4 
6. 2x2 +5x+2, 2x2 -x-1= 
7. a (b – 1), 8(1 –b)= 
8. y3 – y2,y4 – y2 =
 
a) (       1            +           1    )  (   b   ) = 
       b3+b2 -6b          b3 – 6b2            b - 2
 
b) (         1           -         x      )  (        1         ) = 
      x2 + 10x + 25     x2  - 25        x2 + 10x +25
 
c) (     1       +         c      ) (    1    ) = 
      c2 + c        c2 + 2c +1     c2 - 1
 
 
 
1.  (x + 8) (x + 6) : 0
 
2.  (x + 12) (x – 11): 0
 
3.  y(y – 13):0
 
4. (7x – 28) (28x – 7):0
 
5. 1 x  ( 2 x – 12 ):0 
    2       3
 
1.  6x2 + x : 2
 
2.  3x2 + 8x -35: 0
 
3.  3x2 + 8x + 3 : 0
 
4.  (x + 4) (x – 4): 8(x – 2) 
 
5.  123x2 : 0
 
6.  8x2 : 24x + 2
 
1) (a – 3) (a + 5): 
 
2) x (x + 5) : 0
 
3) 0: y (y + 10)
 
4) 2x (3x - 2) : 0
 
5) ( 1 – 3x) ( 1 – 2x) :0 
      3             5
 
6) x2 – 8 : 0
 
7) 12y2 – 5y :2
 
8) 64m2 : 81
 
9) x2 – 3x : 0
 
10) 2y2 + 12y:10
 
11) 100t2: 49
 
12) x2 – 4 – 3 (x –2)2:0
 
13) 4x (x –20) +5:0
 
14) 8x2 + x : 0
 
15) 5x (x –2) +6:0
 
16) 2x2 – 8 : 0
 
17) 3x2 + 12 : 0
 
1. x2 +6x +5 : 0
 
2. x2 +7x+6 : 0
 
3. x2 +7x – 18 : 0
 
4. x2 +4x – 21 : 0
 
5. b2 – 8b + 15 : 0
 
6. x2 – 9x + 14 : 0
 
  
 Found 2 solutions by  jim_thompson5910, Fombitz: Answer by jim_thompson5910(35256)      (Show Source):  Answer by Fombitz(32388)      (Show Source): 
You can  put this solution on YOUR website! Ummm, where are you having the problem exactly? 
Also, could please you break up the posting into individual problems? 
Please re-post.  
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