Realiza las siguientes sumas y restas de polinomios: a) (x^2+3x-2)+(2x^2+x-3) b) (2x^3+3x-5)-(-x^3-2x^2+4x+1) c) (x^2+2x+1)+(2x^2-3x-4)-(5x^2+x-4) d) (x^2 y-3y^2)-(2x^2 y+y^2-6)-(3xy-2y^2+4)
Respuestas
Respuesta dada por:
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¡Hola!.
Resolver.
a)
(x² + 3x - 2) + (2x² + x - 3)
x³ + 3x - 2 + 2x² + x - 3
+x³ +3x -2 +2x²
+x -3
---------------------------------------
x³ + 4x - 5 + 2x²
![=========================================== ===========================================](https://tex.z-dn.net/?f=%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
b)
(2x³ + 3x - 5) - (-x³ - 2x² + 4x + 1)
2x³ + 3x - 5 - x³ - 2x² + 4x + 1
+2x³ +3x -5 -2x²
-x³ +4x +1
-------------------------------------
x² + 7x - 4 - 2x²
c)
(x² + 2x + 1) + (2x² - 3x - 4)
x² + 2x + 1 + 2x² - 3x - 4
+x² +2x +1
+2x² -3x -4
---------------------------------
3x² - x - 3
![========================================= =========================================](https://tex.z-dn.net/?f=%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
d)
(x² - y - 3y²) - (2x² + y² - 6) - (3xy - 2y² + 4)
x² - y - 3y² - 2x² + y² - 6 - 3xy - 2y² + 4
+x² -y -3y² -6 -3xy
-2x² -2y² + 4
+y²
-------------------------------------------------
-x² - y - 4y² - 2 - 3xy
Resolver.
a)
(x² + 3x - 2) + (2x² + x - 3)
x³ + 3x - 2 + 2x² + x - 3
+x³ +3x -2 +2x²
+x -3
---------------------------------------
x³ + 4x - 5 + 2x²
b)
(2x³ + 3x - 5) - (-x³ - 2x² + 4x + 1)
2x³ + 3x - 5 - x³ - 2x² + 4x + 1
+2x³ +3x -5 -2x²
-x³ +4x +1
-------------------------------------
x² + 7x - 4 - 2x²
c)
(x² + 2x + 1) + (2x² - 3x - 4)
x² + 2x + 1 + 2x² - 3x - 4
+x² +2x +1
+2x² -3x -4
---------------------------------
3x² - x - 3
d)
(x² - y - 3y²) - (2x² + y² - 6) - (3xy - 2y² + 4)
x² - y - 3y² - 2x² + y² - 6 - 3xy - 2y² + 4
+x² -y -3y² -6 -3xy
-2x² -2y² + 4
+y²
-------------------------------------------------
-x² - y - 4y² - 2 - 3xy
kpm01:
Muchas gracias:)
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