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)=