miércoles, 8 de diciembre de 2010

ejercicio 21 y 22

****EJERCICIO 21****
A+ b restar a-b
a+b
a-b
0+2b

2x-3y restar –x+2y
2x      -3y
+x     -2y
+3x  - 5y

8ª+b restar -3ª+4
  +B
+3ª       +4
11ª+b+14

X²-3x restar -5x+6
x²- 3x
    +5x  +6
x²+2x+6

a3-a²b  restar 7a²b + 9ab²
a³   -a²b
               -7a²b +9ab²
a³-a²b-7a²b+9ab²

x-y + z restar x-y +z
x - y + z
x +y - z
0   0   0

X + y -z restar – x- y + z
X – y + z
+ x – Y -z
2x-2y+2z

x²+y²-3xy restar -y²+3x²-4xy
x²      + y²     -3xy
-3x²  +y²     +4xy
-2x² +2y²     +1xy



x³-x²+6 restar 5x²-4x+6
x³   -x²  + 6
     -5x² +6  -4x
x³-6x²+12-4x

y²+6y³-8 restar 2y-3y²+6y
    +6y³   -8
3y²                    2y+6y
+4y²+6y³ -8   +2y+6y

A³-6ab²+9ª restar 15a²b-8ª+5
A³-6ab²+
               -8ª+15a²b-8ª+5
a³+6ab²-17ª  +15    +5

x+9xy³-11y restar 8x³y-6x²y²+20y
x-9xy³-11y
              -20y+8x³y+6x²y²
x⁴+9xy³+31y⁴-8x³y+6x²y²

a+ b + c-d restar a-b +c –d

a + b + c - d
a -  b - c + d
a+2b+2c-2d

ab+2ac-3cd-5de restar -4ac+8ab-5cd+5de
ab+2ac-3cd-5de
      +4ac+5cd-5de-8ab
Ab+6ac+8cd-0de+8ab

x³-9x+6x²-19 restar -4ac+8ab-5cd+5de
x³     -9x          +6x²          -19
+6x³  +21x   -11x²          -43
7x³ -30x      +17x²         +62

y-9y³+6y²-31 restar -11y+31y³-8y²-19y
y-9y³       +6y²-31
    +31y³    -8y²             -11y⁴       -19y
y⁵+40y³  -14y²-31       +11y⁴       -19y




5m³-9n³+6m²n-8mn²  restar 14mn²-21m²n+5m³-18
5m³  -9n³  +6m²n -  8mn²
5m³           -21m²n  -14mn² -18
0m³+9n³+21m²n-   22mn²-18

4x³y-19xy³+y⁴-6x²y² restar –x4-51xy³+32x²y²-25xy³
4x³-19xy³+y⁴-6x²y²
      -51xy³        -32x²y² -x4+25x³y
4x³y-19xy³+y⁴+38x²y²-x4+25x³y

m⁶+m⁴n²-9m²n⁴+19 restar -13m³n³+16mn⁵-30m²n⁴-61
m⁶+m⁴n²-9m²n⁴+19
                 +30m²n⁴-61-13m³n³-16mn⁵
m⁶+m⁴n²+39m²n²+80+13m³n³-16mn⁵

-a⁵b+6a³b³-18ab⁵+42 restar -8a⁶+9b⁶-11a⁴b²-11a²b⁴
-a⁵b+6a³b³-18ab⁵+42
                                           -8a⁶+9b⁶-11a⁴b²-11a²b⁴
-a⁵b+6a³b³+18ab⁵-42+8a⁶+9b⁶-11a⁴b²-11a²b⁴

1-x²+x⁴-x³+3x-6x⁵ restar -x⁶+8x⁴-30x²+15x-24
1-x²+x⁴-x³+3x-6x⁵
+24-30x²-8x⁴      -15x       -x6
+25-31x²+9x⁴+x³+18x+6x⁵+x⁶

-6x²y³+8x⁵-23x⁴y+80x³y²-18  restar  -y⁵+9xy⁴+80-21x³y²-51x4y
-6x²y³+8x⁵-23x⁴y+80x³y²-18
                                             -80-y⁵-9xy⁴
6x²y³-8x⁵+23x⁴y-80x³y²-98-y⁵-9xy⁴

M⁶-8m⁴n²+21m²n⁴+8-6mn⁵ restar -23m⁵n+14m³n³-24mn³+8n⁶-14
M⁶-8m⁴n²+21m²n⁴+8-6mn⁵
                                   -14+24mn⁵+23m5n-14m³n³
m⁶-8m⁴n²+21m²n⁴-8-30mn⁵+23m⁵n-14m³n³

x⁷-8x+16x⁵-23x²-15 restar -8x⁶+25x⁴-30x³+51x-18
X⁷-8x+16x⁵-23x²-15
    +51x                        +8x⁶+25x⁴+30x³
x⁷+59x-16x⁵+23x²+15-8x⁶+25x⁴-30x³



9a⁶-15a⁴b²+31a²b⁴-b⁶+14 restar 25a⁵b-15a⁴b²+53a³b³-9ab⁵+3b⁶
9a⁶-15a⁴b²+31a²b⁴-b⁶+14
                                                25a⁵b-15a⁴b²+53a³b³-9ab⁵+3b⁶
9a⁶-15a⁴b²+31a²b⁴-b⁶+14 + 25a⁵b-15a⁴b²+53a³b³-9ab⁵+3b⁶

Ax+ax+1-ax+2 restar 5ax -6ax+1-ax+²
Ax+ax+1-ax+2
       5ax   -ax+2     +6ax+1
Ax+6ax-1-2ax+2-6ax+1

Ma-ma-1+3m-² restar 3m+1-4mᵃ+5mᵃ-2+8mᵃ³
    
Ma-ma-1+3ma-2
                   -4ma    3ma+1-5ma-2-8mᵃ³
Ma-ma-1+7ma-3ma+15ma-2+8maᵃ³

Am+4-7am+2-8am+6ª,-1 restar -11ax+1ᵃ+60xa-3

Am+4-7am+2-8am+6am-1
                                                  8mn+5mn-2+6mn-4+9mn-5
Am-4-7am+2-8am-6am-1+8m2-5mn2-6m2-4+9mn

Xa+2-7xa-1+25xq-2 restar -11xa+1+19xa+45xa-1+60xa-3
Xa+2-7xa+9xa-1+25xa-2
                  -45xa-1             -11xa+1+19xa+60xa-3
Xa+2-7xa+54xa-1+25xa2-11xa+1+19xa+60xa-3

Mn+1-6mn-2+8mn-3-19mn-5 restar 8mn+5mn-2+6mn-3+mn-4+9n-5
Mn+1-6mn-2+8mn-3-19mn-3
           +5mn-2-6mn-3                   8mn+mn-4+9n-5
Mn+1-11mn-2-14mn-3+19mn-5+8mn-mn-4-9n-5













****EJERCICIO 22****
a-b de b-a
b-a
a-b
ba+ab

x-y de 2x+3y
2x+3y
             x-y
2x+3y+x-y

-5ª+b de -7ª+5
-7ª+5
            -5ª+b
+7ª+5+5ª-b

x³-xy² de x²y + 5xy²
      xy²+5xy²
              -xy²+x²
x²y-5xy²-x²


x²-5x de -x²+6
-x²+6
         -5x
+x4+6-5x 

6a²b-8a³ de x²y +5xy²
x²y+5xy²
                  6a²b-8a³
x²y+5xy²+6a²b+8a³

a-b+2c de –a+2b-3c
a+2b-3c
a-b+ 2c
-2ª-3b+5c

m- n+ p de 3n+4m+5p
3n+4m+5p
                       m-n+p
3n+4m+5p-m+n-p



-x + y-z de x+3y-6z
X+3y-6z
 -x + y -z
+x-4y+7z

3a²+ab-6b² de 5b²+8ab+a²
5b²+8ab+a²
-6b²+ab+3a²
+12b²-9ab-4a²

m²-n²-3mn de -5m²-n²+6mn
5m²-n²+6mn
m²-n²                  -3m
6m²+n²-6mn+3m

-x3-x+6 de -8x2 – 5x-4
-8x2+5x-4
                     -x3-x+6
+8x²-5x-4+x³+x-6



m³+14m²+9 de 14m²-8n+16
14m²-8n+16
+14m²                       9
-28m²+8n-16+m³-9

Ab-bc+6cd de 8ad+5bc+6cd
8ab+5bc+6cd
Ab+6bc+6cd
9ab+6bc-12cd

25a²b-8ab²-b³ de a³-9a²b-b³
a³-9a²b-b³
     +25a²b -b³-8ab²
a³-34a²b+2b³+8ab²

xy²-6y³+4 de 6x³-8x²y-6xy²
6x³-8x²y-6xy²
                    xy²-6y³+4
6x³+8x²y+7xy²+6y³-4



m²+7n-8c+d de m²-9n+11c+14

m²-9n+11c+14
m²+7n-8c            +d
____________________________________________________________________________
2m²-16n+19c-14-d

7a³b+5ab³-8a²b²+b⁴ de 5a⁴+9a³b-40ab³+6b⁴
5a⁴+9a³b-40ab³+6b⁴
        +7a³b-5ab³+b⁴+8a²b²
5a⁴-14a³b+45ab³-7b⁴+8a²b²

6x³-9x+6x²-7 de x⁵-8x⁴+25x²+15
x⁵-8x⁴+25x²+15
               +6x²-76x³-9x
x⁵-8x⁴+31x²+22+6x³-9x

x⁵-x²y³+6xy⁴+25y⁵ de 3xy⁴-8x³y²-19y⁵+18
3xy⁴-8x3y²-19y⁵+18
                        +25y⁵         x⁵-x²y³+6xy⁴
3xy⁴-8x3y²-44y⁵+18-x⁵+x²y³-6xy⁴


8ª4b+a³b²-15a²b³-45ab⁴-8 de a⁵-26a³b²-9-8ab⁴-b⁵+6
8a⁴b+a³b²-15a²b³-45ab⁴-8
           -26a³b²           +8ab⁴+6+a⁵-b⁵
_________________________________________________________________________
8a⁴b+27a³b²+15a²b³-53ab⁴-14-a⁵-b⁵

23y³+8y⁴-15y⁵-8y-5 de y⁶+y³+y²+9

y⁶+y³+y²+9
15y⁶ -23y³     -5+8y⁴ -8y
16y⁶+24y³+y²+14-8y⁴-8y


7x7+5x5-23+51x+36 de x3 de x8-x6+3y4-5x2-9
X8-x6+3y4-5x2-9
                                 -23+7x7+5x5+51x+36
X8-x6+3y4-5x2+32-7x7-5x5-51x-36

Y7-6ox4y3+90x3y4-50xy6-x2y5 de x7-3x5y2+35x4y3-8x2y5+60
X7-3x5y2+35x4y3-8x2y5+60
                       60x4y3                     y7+90x3y4
_______________________________________________________________________
x7-3x5y2-95x4y3+8x2y5+60y7-90x3y4






                                               

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