quien me ayuda a resolver algebra de mancil tes 4
porfavor ayudenme en todo esto y les doy 70 puntos porfavor
Adjuntos:
![](https://es-static.z-dn.net/files/d63/00d6b8b431ec133ca15304aae081f447.jpg)
![](https://es-static.z-dn.net/files/d22/b1e2c1b05545f2bc2811814c725ed57a.jpg)
![](https://es-static.z-dn.net/files/dc5/0a1c691ecdc86518d3006e082ea8d310.jpg)
Anónimo:
igual no esta complejo, eso se hace ahora en un rato
http://www.opentor.com/algebra-1-gonzalez-mancil/test-4-parte-1.html
Respuestas
Respuesta dada por:
5
Saludos
1) sumar
a)![- 3a^{2} ,2 b^{2} , a^{2} , b^{2} , c^{2} - 3a^{2} ,2 b^{2} , a^{2} , b^{2} , c^{2}](https://tex.z-dn.net/?f=-+3a%5E%7B2%7D+%2C2+b%5E%7B2%7D+%2C+a%5E%7B2%7D+%2C+b%5E%7B2%7D+%2C+c%5E%7B2%7D+)
respuesta
b)-3a(b + c), 2a(b + c), 4(b - c)
= -3ab -3c + 2ab +2ac +4b - 4c
= -ab - 7c + 2ab + 2 ac, respuesta
2)![3xy - x^{2} +2yz- y^{2} +6xz+ x^{2} ,2 x^{2} +3 y^{2} +2yz+ x^{2} -3xz-2xy 3xy - x^{2} +2yz- y^{2} +6xz+ x^{2} ,2 x^{2} +3 y^{2} +2yz+ x^{2} -3xz-2xy](https://tex.z-dn.net/?f=3xy+-+x%5E%7B2%7D+%2B2yz-+y%5E%7B2%7D+%2B6xz%2B+x%5E%7B2%7D+%2C2+x%5E%7B2%7D+%2B3+y%5E%7B2%7D+%2B2yz%2B+x%5E%7B2%7D+-3xz-2xy)
respuesta
x=1, Y=-2, z = 0
comprobando
![3(1)(2)-(1)^{2}+2(2)(0)- (2)^{2}+6(1)(0)+ (1)^{2} 3(1)(2)-(1)^{2}+2(2)(0)- (2)^{2}+6(1)(0)+ (1)^{2}](https://tex.z-dn.net/?f=3%281%29%282%29-%281%29%5E%7B2%7D%2B2%282%29%280%29-+%282%29%5E%7B2%7D%2B6%281%29%280%29%2B+%281%29%5E%7B2%7D+)
![2 (1)^{2} +3 (2)^{2} +2(2)(0)+ (1)^{2} -3(1)(0)-2(1)(2) 2 (1)^{2} +3 (2)^{2} +2(2)(0)+ (1)^{2} -3(1)(0)-2(1)(2)](https://tex.z-dn.net/?f=2+%281%29%5E%7B2%7D+%2B3+%282%29%5E%7B2%7D+%2B2%282%29%280%29%2B+%281%29%5E%7B2%7D+-3%281%29%280%29-2%281%29%282%29)
![6-1+0- 4+0+ 1 +2 +12 +0+ 1 -0-4 6-1+0- 4+0+ 1 +2 +12 +0+ 1 -0-4](https://tex.z-dn.net/?f=6-1%2B0-+4%2B0%2B+1++++%2B2+%2B12+%2B0%2B+1+-0-4)
13, respuesta
3)![2 x^{m} -3 x^{n} 2 x^{m} -3 x^{n}](https://tex.z-dn.net/?f=2+x%5E%7Bm%7D+-3+x%5E%7Bn%7D+)
a) respuesta
4)
![2x^{3}-6x^{2} y^{2} +7x^{n} -6ax(y^{2} - x^{2} ) 2x^{3}-6x^{2} y^{2} +7x^{n} -6ax(y^{2} - x^{2} )](https://tex.z-dn.net/?f=2x%5E%7B3%7D-6x%5E%7B2%7D+y%5E%7B2%7D+%2B7x%5E%7Bn%7D+-6ax%28y%5E%7B2%7D+-+x%5E%7B2%7D+%29)
![-x^{3}+2x^{2} y^{2} +5x^{n} -4ax(y^{2} -x^{2} ) -x^{3}+2x^{2} y^{2} +5x^{n} -4ax(y^{2} -x^{2} )](https://tex.z-dn.net/?f=-x%5E%7B3%7D%2B2x%5E%7B2%7D+y%5E%7B2%7D+%2B5x%5E%7Bn%7D+-4ax%28y%5E%7B2%7D+-x%5E%7B2%7D+%29)
-----------------------------------------------------------------
respuesta
5)
![(x^{2} - y^{2} )-( x^{2} + y^{2} + z^{2} )-( z^{2} - x^{2} )+( y^{2} - z^{2} )-( x^{2} - y^{2} - z^{2}) (x^{2} - y^{2} )-( x^{2} + y^{2} + z^{2} )-( z^{2} - x^{2} )+( y^{2} - z^{2} )-( x^{2} - y^{2} - z^{2})](https://tex.z-dn.net/?f=%28x%5E%7B2%7D+-+y%5E%7B2%7D+%29-%28+x%5E%7B2%7D+%2B+y%5E%7B2%7D+%2B+z%5E%7B2%7D+%29-%28+z%5E%7B2%7D+-+x%5E%7B2%7D+%29%2B%28+y%5E%7B2%7D+-+z%5E%7B2%7D+%29-%28+x%5E%7B2%7D+-+y%5E%7B2%7D+-+z%5E%7B2%7D%29)
![x^{2} - y^{2} - x^{2} - y^{2} - z^{2} - z^{2} + x^{2} + y^{2} - z^{2} - x^{2} + y^{2} + z^{2}) x^{2} - y^{2} - x^{2} - y^{2} - z^{2} - z^{2} + x^{2} + y^{2} - z^{2} - x^{2} + y^{2} + z^{2})](https://tex.z-dn.net/?f=x%5E%7B2%7D+-+y%5E%7B2%7D+-+x%5E%7B2%7D+-+y%5E%7B2%7D+-+z%5E%7B2%7D+-+z%5E%7B2%7D+%2B+x%5E%7B2%7D+%2B+y%5E%7B2%7D+-+z%5E%7B2%7D+-+x%5E%7B2%7D+%2B+y%5E%7B2%7D+%2B+z%5E%7B2%7D%29)
![- z^{2} - z^{2} - z^{2} - z^{2}](https://tex.z-dn.net/?f=-+z%5E%7B2%7D+-+z%5E%7B2%7D+)
![-2 z^{2} -2 z^{2}](https://tex.z-dn.net/?f=-2+z%5E%7B2%7D+)
c) respuesta
6)
![a^{2} + b^{2} - c^{2} - d^{2} -2ab+2cd a^{2} + b^{2} - c^{2} - d^{2} -2ab+2cd](https://tex.z-dn.net/?f=+a%5E%7B2%7D+%2B+b%5E%7B2%7D+-+c%5E%7B2%7D+-+d%5E%7B2%7D+-2ab%2B2cd)
![+(a^{2}-2ab + b^{2}) - (c^{2} -2cd+ d^{2} )= (a-b)^{2} - (c-d)^{2} +(a^{2}-2ab + b^{2}) - (c^{2} -2cd+ d^{2} )= (a-b)^{2} - (c-d)^{2}](https://tex.z-dn.net/?f=+%2B%28a%5E%7B2%7D-2ab+%2B+b%5E%7B2%7D%29+-+%28c%5E%7B2%7D+-2cd%2B+d%5E%7B2%7D+%29%3D+%28a-b%29%5E%7B2%7D+-+%28c-d%29%5E%7B2%7D+)
7)
9x - (-3x - (4 - (6 -x - 2) - x) +x + 1)
9x - (-3x - (4 - (4 -x) - x) +x + 1)
9x - (-3x - (4 - 4 + x - x) +x + 1)
9x - (-3x - (0) +x + 1)
9x - (-2x + 1)
9x + 2x - 1
11x - 1
c) respuesta
8)
![x^{3} -5 x^{2}+2x-3 x^{3} -5 x^{2}+2x-3](https://tex.z-dn.net/?f=x%5E%7B3%7D+-5+x%5E%7B2%7D%2B2x-3)
+![-3x^{3}+4 x^{2}-6x+8 -3x^{3}+4 x^{2}-6x+8](https://tex.z-dn.net/?f=-3x%5E%7B3%7D%2B4+x%5E%7B2%7D-6x%2B8)
------------------------------------------
![-2x^{3} - x^{2} -4x+5 -2x^{3} - x^{2} -4x+5](https://tex.z-dn.net/?f=-2x%5E%7B3%7D+-+x%5E%7B2%7D+-4x%2B5)
-![1x^{3} +1 x^{2} -2x-8 1x^{3} +1 x^{2} -2x-8](https://tex.z-dn.net/?f=1x%5E%7B3%7D+%2B1+x%5E%7B2%7D+-2x-8)
------------------------------------------
-x^{3} +0 x^{2} -6x-3
respuesta
9)
Coeficientes separados
1 -4 -5 1 -1
(+) 4 -2 6 -1 -1
--------------------------
5 -6 1 0 2 suma de los dos primeros
1 3 -3 2 1
(+) -2 -1 1 -1 2 suma
----------------------------
-1 2 -2 1 3
5 -6 1 0 2
(-) -1 2 -2 1 3
------------------------------
6 -8 3 -1 -1
queda
![6 x^{3} -8 x^{2} y+3x y^{2} - y^{3} - z^{3} 6 x^{3} -8 x^{2} y+3x y^{2} - y^{3} - z^{3}](https://tex.z-dn.net/?f=6+x%5E%7B3%7D+-8+x%5E%7B2%7D+y%2B3x+y%5E%7B2%7D+-+y%5E%7B3%7D+-+z%5E%7B3%7D+)
respuesta
10)
coeficientes separados
se suman los dos últimos
2 3 -5 4 -3/2
(+) -1 -2 1 -1 3
-------------------------
1 1 -4 3 3/2
5 -2 6 -5 1/2
(-) 1 1 -4 3 3/2
------------------------
4 -3 10 -8 -1
queda
![4 n^{3} -3 n^{2} +10n-8-n(n+1) 4 n^{3} -3 n^{2} +10n-8-n(n+1)](https://tex.z-dn.net/?f=4+n%5E%7B3%7D+-3+n%5E%7B2%7D+%2B10n-8-n%28n%2B1%29)
respuesta
Espero te sirva
1) sumar
a)
b)-3a(b + c), 2a(b + c), 4(b - c)
= -3ab -3c + 2ab +2ac +4b - 4c
= -ab - 7c + 2ab + 2 ac, respuesta
2)
x=1, Y=-2, z = 0
comprobando
13, respuesta
3)
a) respuesta
4)
-----------------------------------------------------------------
5)
c) respuesta
6)
7)
9x - (-3x - (4 - (6 -x - 2) - x) +x + 1)
9x - (-3x - (4 - (4 -x) - x) +x + 1)
9x - (-3x - (4 - 4 + x - x) +x + 1)
9x - (-3x - (0) +x + 1)
9x - (-2x + 1)
9x + 2x - 1
11x - 1
c) respuesta
8)
+
------------------------------------------
-
------------------------------------------
-x^{3} +0 x^{2} -6x-3
9)
Coeficientes separados
1 -4 -5 1 -1
(+) 4 -2 6 -1 -1
--------------------------
5 -6 1 0 2 suma de los dos primeros
1 3 -3 2 1
(+) -2 -1 1 -1 2 suma
----------------------------
-1 2 -2 1 3
5 -6 1 0 2
(-) -1 2 -2 1 3
------------------------------
6 -8 3 -1 -1
queda
respuesta
10)
coeficientes separados
se suman los dos últimos
2 3 -5 4 -3/2
(+) -1 -2 1 -1 3
-------------------------
1 1 -4 3 3/2
5 -2 6 -5 1/2
(-) 1 1 -4 3 3/2
------------------------
4 -3 10 -8 -1
queda
respuesta
Espero te sirva
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