Algebra
Páginas: 3 (691 palabras)
Publicado: 24 de julio de 2012
Algebra
1. SUMAR Y RESTAR
a. x4 – x2 + 5; 2/3x3 – 3/8x – 3; -3/5x4 + 5/6x3 -3/4x
X4 | -x2 | +5 | | |
| | -3 | +2/3x3 | -3/8x |
-3/5x4 | | | +5/6x3 | -3/4x |
2/5x4 | -x2 |+2 | +3/2x3 | -9/8x |
R: -9/8x -x2 + 3/2 x3 +2/5x4 +2
b. 2/9a3 + 5/6ax2 – 1/3x3; -3/7a2x - 7/8ax2 – 1/9x3; -2/3a3 + ½ a2x -1/4ax2
2/9a3 | + 5/6ax2 | – 1/3x3 | |
| - 7/8ax2 |– 1/9x3; | -3/7a2x |
-2/3a3 | -1/4ax2 | | + ½ a2x |
-4/9a3 | -7/24ax2 | -4/9x3 | +1/14a2x |
R: -4/9a3 + 1/14 a2x -7/2ax2 -4/9x3
c. x2 - 5x + 8; -x2 + 10 x -30; -6x2 + 5x – 50x2 | - 5x | + 8 |
-x2 | + 10 x | -30 |
-6x2 | + 5x | – 50 |
-6x2 | + 10 x | -72 |
R:-6x2 +10x -72
d. x3y - xy3 + 5; x4 – x2y2 + 5x3y – 6; -6xy3 + x2y2 + 2; -y4 + 3xy3 +1
x3y | - xy3 | + 5 | | | |
+ 5x3y | | – 6 | x4 | – x2y2 | |
| -6xy3 | + 2 | | + x2y2 | |
| + 3xy3 | + 1 | | | -y4 |
+6x3y | -4xy3 | +2 | x4 | / | -y4 |
R: x4 +6x3y -4xy3 –y4+2
2. MULTIPLICAR
e. a4 – 6a3x + 9a2x2 – 8 por 3bX3
a4 | – 6a3x | + 9a2x2 | – 8 |
| | 3bx3 | |
3a4bx3 | -18a3bx4 | +27a2bx5 | -24bx3 |
R: 3a4bx3 -18 a3bx4 +27a2bx5 -24bx3f. -3x3 + 5x2y – 7xy2 – 4y3 por 5a2xy2
-3x3 | + 5x2y | – 7xy2 | – 4y3 |
| | 5a2xy2 | |
15a2x4y2 | +25a2x3y3 | -35a2x2y4 | -20a2xy5 |
R: 15a2x4y2 +25a2x3y3 -35a2x2y4-20a2xy5
g. 5y4 – 3y3 + 4y2 + 2y por y4 - 3y2 – 1
5y4 | – 3y3 | + 4y2 | + 2y | | | | |
| y4 | - 3y2 | – 1 | | | | |
5y8 | -3y7 | +4y6 | +2y5 | | | | |
| | -15y6 |+9y5 | -12y4 | -6 y3 | | |
| | | | -5 y4 | +3 y3 | -4 y2 | -2y |
5 y8 | -3y7 | -11y6 | +11y5 | -17y4 | -3y3 | -4y2 | -2y |
R: 5y8 -3y7 -11y6 +11y5 -17y4 -3y3 -4y2 -2y
h. ½ + 1/3x2– 1/4x + 1/4x3 por 3/2x2 – 1/5 + 1/10x
½ | + 1/3x2 | – 1/4x | + 1/4x3 | | |
| 3/2x2 | – 1/5 | +1/10x | | |
3/4 x2 | 1/2 x4 | -3/8 x3 | +3/8 x5 | | |
-1/15 x2 | | -1/20 x3 |...
1. SUMAR Y RESTAR
a. x4 – x2 + 5; 2/3x3 – 3/8x – 3; -3/5x4 + 5/6x3 -3/4x
X4 | -x2 | +5 | | |
| | -3 | +2/3x3 | -3/8x |
-3/5x4 | | | +5/6x3 | -3/4x |
2/5x4 | -x2 |+2 | +3/2x3 | -9/8x |
R: -9/8x -x2 + 3/2 x3 +2/5x4 +2
b. 2/9a3 + 5/6ax2 – 1/3x3; -3/7a2x - 7/8ax2 – 1/9x3; -2/3a3 + ½ a2x -1/4ax2
2/9a3 | + 5/6ax2 | – 1/3x3 | |
| - 7/8ax2 |– 1/9x3; | -3/7a2x |
-2/3a3 | -1/4ax2 | | + ½ a2x |
-4/9a3 | -7/24ax2 | -4/9x3 | +1/14a2x |
R: -4/9a3 + 1/14 a2x -7/2ax2 -4/9x3
c. x2 - 5x + 8; -x2 + 10 x -30; -6x2 + 5x – 50x2 | - 5x | + 8 |
-x2 | + 10 x | -30 |
-6x2 | + 5x | – 50 |
-6x2 | + 10 x | -72 |
R:-6x2 +10x -72
d. x3y - xy3 + 5; x4 – x2y2 + 5x3y – 6; -6xy3 + x2y2 + 2; -y4 + 3xy3 +1
x3y | - xy3 | + 5 | | | |
+ 5x3y | | – 6 | x4 | – x2y2 | |
| -6xy3 | + 2 | | + x2y2 | |
| + 3xy3 | + 1 | | | -y4 |
+6x3y | -4xy3 | +2 | x4 | / | -y4 |
R: x4 +6x3y -4xy3 –y4+2
2. MULTIPLICAR
e. a4 – 6a3x + 9a2x2 – 8 por 3bX3
a4 | – 6a3x | + 9a2x2 | – 8 |
| | 3bx3 | |
3a4bx3 | -18a3bx4 | +27a2bx5 | -24bx3 |
R: 3a4bx3 -18 a3bx4 +27a2bx5 -24bx3f. -3x3 + 5x2y – 7xy2 – 4y3 por 5a2xy2
-3x3 | + 5x2y | – 7xy2 | – 4y3 |
| | 5a2xy2 | |
15a2x4y2 | +25a2x3y3 | -35a2x2y4 | -20a2xy5 |
R: 15a2x4y2 +25a2x3y3 -35a2x2y4-20a2xy5
g. 5y4 – 3y3 + 4y2 + 2y por y4 - 3y2 – 1
5y4 | – 3y3 | + 4y2 | + 2y | | | | |
| y4 | - 3y2 | – 1 | | | | |
5y8 | -3y7 | +4y6 | +2y5 | | | | |
| | -15y6 |+9y5 | -12y4 | -6 y3 | | |
| | | | -5 y4 | +3 y3 | -4 y2 | -2y |
5 y8 | -3y7 | -11y6 | +11y5 | -17y4 | -3y3 | -4y2 | -2y |
R: 5y8 -3y7 -11y6 +11y5 -17y4 -3y3 -4y2 -2y
h. ½ + 1/3x2– 1/4x + 1/4x3 por 3/2x2 – 1/5 + 1/10x
½ | + 1/3x2 | – 1/4x | + 1/4x3 | | |
| 3/2x2 | – 1/5 | +1/10x | | |
3/4 x2 | 1/2 x4 | -3/8 x3 | +3/8 x5 | | |
-1/15 x2 | | -1/20 x3 |...
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