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OPERACIONES FUNDAMENTALES CON EXPRESIONES ALGEBRAICAS

Ejercicio 3

I. Resuelve las siguientes sumas:

1. 12ac – 8ac +3ac =

2. 2mn + 6mn – 5mn =

3. – 3xy + 7xy – xy + 2xy =

4. 15ax2 +2y – 3ax2 + y + 2 – 8ax2 – 5y =

5. 11a – 7b + 4c – 3b + 6c – 5a + 4b – 8c – a + 2c =

6. 13m – n + 4 – 10m + 5n – 7 + 8n – 3 =

7. 6x + 5y – 5z + 6y + 3z – 2x – 4y + x + 7z – y =

8. 3xy +9x – 4ax + 10a – 7x + 8xy – 3a + 12ax =

9. 7x – 6y + z + 4y – 3z + 9x – 6z + 3y + 5z – 2x =

10. =

11. =

12. =

13. =

14. 3x - =

15. =

II. Resuelve las siguientessustracciones:

1. Restar x + 5y + 9 de 3x – 2y + 16
2. Restar 4ax – 8ay + 3 de 11ax – 7ay + 4
3. Restar 5x + 3y – 2z de 2x + 8y + z
4. Restar – 2x2 + 6xy – 4y2 de 7x2 + 10xy – 9y2
5. Restar 6a2b + 4ab2 +ab de 2a2b + 5ab2 – 7ab
6. Restar 8ax2 + 10bx – 3ab de 9ax2 + 15bx – 16ab




7. Restar de

8. Restar de

9. Restar de

10. Restar de

III. Elimina los simbolos deagrupación y simplifica las expresiones por reducción de términos semejantes:

1. 5y + 2x – (y + 5x + z) + ( - 2x + 3y) + 7z =

2. 8a – [4b – 11c + 2 – (3b + 2c – 7) + 3a] =

3. – [5 – (6xy – z) +2xy + 7z + 3] + 5xy =

4. – (4x – 3y + 2) – [y + (1 – x) + 2y + 3] =

5. {7 – [ - 8y + 3x – ( - x – 10y + 3) – 7x + 2 – 3y]} =

6. – {x – 5y – [2z – (7x – y + 5) + 6z] – 3y} + 2 =

7. 5a –{3b – 8c – [a + 2c + 6b – (b – c) – 3a] – 5c} =

8. – {4m – [n – 6 – (2m – 4n + 2) + 7n] – 3m} =

IV. Resuelve las siguientes multiplicaciones simplificando al maximo:

1. (x2y)(-2xy) =
2.(5mn)(m2n) =
3. (-3ab2)(-a2b3) =
4. (xy)(8x2)(2xy) =
5. (a2b)(-2ab)(-7b2) =
6. ab(b2 – a2) =
7. -3xy2(2x – 1) =
8. 2mn(2m – 3n – 4mn + 1) =
9. 5a2(-4x + 3xy + y) =
10. –b2c(a3 – 2ab + 3bc3) =
11.(y + 2x)(x2 + xy – y2) =
12. (x2 – 2x + 4)(3x2 – 5x – 2) =
13. (3x2y – 6xy2 + 12x)(–6x2 + 3x + 1) =
14. (a – 7b)(a2 + 4ab + 2b2) =
15. (2x + 1)(3 – x)(x + 5) =
16. (m2 – 4m + 5)(9m2 + 3m – 1) =...