domingo, 28 de noviembre de 2010

ejercicios de algebra

X²+4x;-5x+x²=
X²+4x
+x²-5x  2x²-1x
a²+ab-2ab+b²=
a²+ab
    -2ab+b²            a²-7ab+b2
x³+2x;-x²+4
+2x          x³+2x-x²+4
-x²+4
A⁴-3a⁴; a³+4ª
A⁴-3a⁴
        a³+4ª          a⁴-3a⁴+2³+4ª
-x²+3x; x³+6
-x²+3x
          X3+6             -x2+3x+x³+6
x²-4x ;-7x+6 ;3x²-5
x²-4x
  2-7x+6
3x       -5
m²+n²;-3mn+4n²;5m²-5n²
m²+n²
      4n²-3mn             6m²-3mn
5m²-5n²
3x+x3;-4x2+5:-x3+4x²-6
²-3ab+b²     -x³-4x2+5         3x-7
+4x2-6
x²-3xy-y;-2y²+3xy-x2;x²+3xy-y²a
x²-3xy-y
-x2+3xy      2y²
X2+3xy     -y2                  +1x²+3xy-y+1y²
A²-3ab+b²; 5ab+a²-b²; 8ab-b²-2a²
+a²-3ab+b²
+a²-5ab-b²           -  1b²
-2a² 8ab-b²
-7x²+5x-6;8x-9+4x²;-7x+14-x²
-7x²+5x-6
+4x2+8x-9            -4x²+5x-7
-x²-7x+14
A³-4a+5;a³-2a+6;a²-7a+4
a³-4a+5
       +6 -2a²
     -7a+4             2a³-11a+15-12²
-x²+x-6;x³-7x²+5;x³+8x-5
-x²+x-6
-7x²    +6x³
         +8x-5x³           -8x²+9x-62x³
a³-b³;5a²b-4ab²;a³-7ab²-b³
A³-b³
      5a²b
                  -4ab²
                 -7ab²
2a³            5a²b-11ab²
x³+xy²+3;-5x²y+x³-y³;2x³-4xy²-5y³
+x³+x4²+y³
+x³          -y³-5x²y
        -4xy²-5y³     2x³
2x³-3xy²-5y³-5x²y+2x³
-7m²n-4n³;m³+6mn²-n³:m³+7m²n+5n³
-7m²n+4n³
            -n³  m³+6mn²
+7m²n+5n³-m³
              8n³    + 6mn²

X4-x²+x;x³-4x²+5;7x2-4x+6
X4-x²+x
     -4x² x³    +5
       7x²-4x    +6
X4    +2x²-3x+x3+11

a⁴+2⁶+6;a⁵-3a³+8;a³-a²-14
a⁴+2⁶+6
           +6a²-3a³
                       a³-a²-14
a⁴+a⁶+14a⁵-2a³-a²-14

x⁵+x-9;3x⁴-7x²+6;-3x³-4x+5
x5+x-9
+6  3x4-7x²-3x³
             -4x+5

x⁵+-3x+2+3x4-7x2-3x3

a³+a;a²+5;7a²+4⁴;-8a²-6
a³+a
      a²+5
+4ª  7a²
        8a²-6
a³+5ª+16a²-7
x⁴-x²y²:-5x³y-6xy³;-4xy³+4;-4x²y²-6
X⁴-x²y²
              -5x³y-6xy³
     -4x²y²        -4xy³+y⁴-6
X4-5x²y²-5x³y-10xy³+y⁴-6

Xy+x²-7y²+4xy-x²;5y²-x²+6xy;-6x²-4xy+y²
Xy+x²
+4xy-x²-7y²
+6xy-x²-5y²             +7xy-7x²-11y²
-4xy-6x²+y²
a³-8ax²+x³;5a²x6ax²-x³;x3;3a³-5a²x-x³;a³+14 ax²-x³
9³-8ax²+x³
3a³-6ax²-x3-5a²x              5a³-2x³
a³+14ax²-x³
-8a²m-6am²-m³;a³-5am²+m³-4a³+4a²m-3am²;-4am²-6
-8a²m-6am²-m³
            5am²+m³a³
-4a²m-3am²
7a²m-7am²
-5a²m-21am²-3a³-6

x⁵-x³y²-xy⁴;2x⁴y+3x²y³-y⁵;3x²y²-4xy⁴-y⁵x5-5xy4+2y5
x⁵-x³y²-xy²
                 2x⁴y
                       +3x²y³-y5
                                   -y5
+3x³y²-4xy⁴               +2y5
            -5xy⁴
2x⁵   2x³y²-8xy⁴+2x⁴y+3x²y³


½x²+⅓xy;½xy+1/4y²
½x²+⅓xy;½xy+1/4y²
        +½xy+1/4y²                ⅓+½=3+2/6=5/6
½x²+5/6xy+1/4y²

a²+½ab;-1/4 ab+½b²;-1/4 ab-1/5b²
a²+1/2 ab                                                  -1/4-1/4=-4-4/16=8/16
-1/4ab+1/5b²                                         -8/16+1/2=16+16/32=0

                                                                            +1/2-1/5=-2+5/10=3/10
x²+2/3xy;1/6xy+y²;-5/6xy+2/3y²
x²+2/3xy                                                          -1/6-5/6=30+6/36=36/36
-1/6xy+Y²                                                        -36/36+2/3=-108/108+102=6/108
-5/6xy+5/3y²
x²-6/108xy+5/3y²

3/4x²-1/2y²;-2/5xy+1/6y²1/4xy+1/10xy+1/3y²
3/4x²-1/2y²                                                          +1/6+1/3-1/2=6+12+18=36/36
+1/6y²-2/5xy                                                       -2/5+1/10+1/10=-200+50+50/500
+1/3y²+1/10xy                                                    -100/500
            +1/10xy
3/4x²+36y²-100/500xy

2/3a²+1/5ab-1/2b²;5/6a²-1/10ab+1/6 b²;-1/12a²+1/20ab-1/3b²
2/3a²+1/5ab*1/2b²                                             2/3+1/%-1/”=20+6-15/30 11/30
5/6a²-1/10ab+1/6b²                                          +1/5-1/10+1/20=4-2+7/20 3/20           
-1/12a²+1/20ab-1/3b²                                    -1/2+1/6-1/3=-18+6/36
11/30a²+3/20ab+6/36b²

5/6x²-2/3y²+3/4xy;-1/2xy-1/6x²-1/8y²;5/6xy-1/3x²+1/4y²
5/6x²-2/3y²+3/4xy                                                  5/6-1/6-1/3= 5-1-2/6=2/6
-1/6x²+1/8y²-1/2xy                                                -2/3+1/8+1/4=-16+2+4/24=-22/24
-1/3x²+1/4y²+5/6xy                           ¾-1/2+5/6=36-24+40/48  -24/48
2/6X²-22/24y²-24/48xy

a³-1/2ab²+b³;5/6a²b-3/8ab²-2b³;1/4a³-1/2a²-3/5b²
a³-1/2ab²+b³
-1/4a³-3/8ab²-2b³5/6 a²b
                         -1/2 a²b  -3/5b²
3/4a³-14/16ab²-1b³+4/12a²b-3/5b²
-1/4+1/1=4-1/4=3/4                                         5/6-1/2=10-6/12=4/12
-1/2-3/8=-8-6/16=17/16

x⁴-x²+5;2/3x³-3/8x-3;-3/5x⁴+5/6x³-3/4x
x4-x²+5
-3/5x⁴                          2/3x³-3/8x-3
                                     +5/6x³-3/4x
2/5x4-x²+5+17/18x³-36/32y
-3/5+1/1=5-3/5=2/5
23+5/6=12+15/18=17/18

2/3m-1/4mn²+2/5n³;1/6m²n+1/8mn²-3/5n³-1/2;n-n³
2/3m³-1/4mn²+2/5n³
m³+1/8mn²-3/5n³               1/6m²n
                        -n³
3/5m³-4/32mn²-30n³/25+1/6m²n-1/2+n
+1/8-1/4=8+4/32=4/32
2/3+1/1=3+2/3-5/3
X2/5-3/5-1/1=10-15-25/25-30/25
x⁴+2x²y²+2/7y4;-5/6x4+3/8x²y²1/6xy3-1/14y⁴-5/6y³y-+4x²y²+1/7y⁴
x4+2x²y²+2/7y⁴
-5/6x⁴+3/8x²y²              -1/6xy³
-1/4x²y²   -1/14y⁴          -5/6x³y 
 -1/7y⁴
1/6x⁴+17/8x²y²+1/14-1/6xy³-5/6x3y
-5/6+1/1=6-5/6=1/6
+2/1+3/8-1/4= 16+3-4/8=17/8
+2/2-1/14-1/7=4-1-2-/14=1/14

3 comentarios: