EXPRESIONES ALGEBRAICAS 3° Año “C” Resuelve las siguientes operaciones.
a) Adicciones y sustracciones:
1- (4 a3 – ½ a + 2 + 2/3 a
2) + (-3 a – 1/3 a
2 + 2 a
3) =
2- (3/5 c2 – 2 c + 1/5) + (- 2 c
2 + 1/3 c + ½) =
3- (-1/2 y2
+ 3) + (-4/7 y2
+ y3 – 4/5) + (2 – 1/6 y
2 + ½ y
3) =
4- (3/2 a2 – 2 a) - (- a + 2) =
5- (3/2 c2 – 2 c + 1/5) – (- 2 c
2 + 1/3 c + ½) =
6- (-4/3 y2
+ y3 – 4/5) - (2 – 1/3 y
2 + ½ y
3) =
7- ( -5mn3 + 1/3mn – 0,2m
2n
3) – (-2,5mn + 1/4m
2n
3 -3/5mn
3)=
8- (2,5xy – 0,25x3y
2 + 3/8x
2y) – ( 2/3x
2y – 0,15xy + 10x
3y
2)=
9- (-1/2 xy2
+ 3,2) + (-4/5xy2
+ xy3 – 4/5) - (2 – 1/6xy
2 +0,5xy3) =
b) Productos:
1- (3b - 4b3 + 5 b
2) . (-2b
2) =
2- ( 12 m2y – 30m
3y
2 – m) . ( -3my
2)=
3- (12 m2y– 2m
5 – m) . ( m – 2)=
4- (-1/2 y2
+ 3) . (-4/3 y2
+ y3 – 4/5)=
5- (3/2 c2 – 2 c + 1/5) . (- 2 c
2 + 1/3 c + ½)=
6- (3/4 ab2
– 2 a + ½) . (- 2 ab2 + 1/4 a + ½)=
7- (4/7 y2
+ y3 – 4/5) + (2y – 1/6 y
2 ) =
8- (4 a3 – ½ a + 2 + 2/3 a
2) . (-3 a – 1/3 a
2 )=
c) Potencias:
1- (1/5 a b4
c5)
3=
2- ( 1/3 xz3y
6 ) 4
=
3- (0,2mn12
)2=
4- (-3 a4b
15c
7)3=
5- (5x8y
5z
2)3=
6- [( -1/2 ab5c
4d
9)2]2
7- {[( -2 ab2c
4d
5)2]0}
3 =
d) Productos especiales:
1- (-3y – 4)2=
2- ( m – 2)2 =
3- (-2 a2x – 1/3 ax
2)2=
4- (a – 2b)3=
5- (2m + m2)3=
6- (1/2x – 2)3=
7- (y – 1/4). (y + 1/4) =
8- ( x – ½) . ( x + ½)=
9- (ab – 0,2) . (ab + 0,2)=
10- (m + 1/3n) . (m – 1/3n)=
e) Cocientes: 1- ( 12 m
2y – 30m
3y
2 – m) : ( -3my
2)=
2- ( 22 m2y– 20m
5 – m) : ( m – 2)=
3- (2 – 1/6 y2 + ½ y
4) : (y
2 + y)=
4- (5a3 –1/4a + 1 –2/3a
2) : (2a – 3)=
5- (n5 + 4n
3 – 6) : (n + 2)=
6- (m4 – 2m
2 + 5) : (m – 2)=
7 - (x3 – x + 3) : ( x – 5)=
8- (2x6 – 3x + 2) : (x – ½)=
f) Regla de Ruffini. Aplicación. 1- (2x
4 – 4x
3 + 1/3x
2 – 10x – 2) : (x – 2)=
2- (3x3 - 10x
2 +
5x – 1/5) : (x + 3)=
3- (0,2a4 + a
3 – 2) : (a + 3/2)=
4- ( 0,3m4 – 0,1m – 2) : ( m – 0,2)=
5- (2x6
– 3x + 2) : (x – ½)= 6- (x
3 – 3) : ( x – 5)=
g) Teorema del Resto. Aplicación. 1- (2x
4 – 5x
3 + 1/2x
2 – 10x – 2) : (x – 1)=
2- (5x3 + 10x
2 +
5x – 1/5) : (x + 5)=
3- (0,2a4 + a
3 – 2) : (a + 2/5)=
4- ( 0,5m4 – 0,1m – 2) : ( m – 0,2)=
5- (x6 – 3x + 2) : (x – ½)=
6- (x3 – x + 3) : ( x – 5)=