The document discusses multiplying monomials and polynomials. It provides examples of multiplying monomials by multiplying the coefficients, exponents of like variables, and considering the signs. It also discusses multiplying a polynomial by a monomial by multiplying the monomial by each term of the polynomial and summing the products. Numerous examples are provided to demonstrate multiplying monomials and polynomials.

2.  MULTIPLICACIÓN DE MONOMIOS:
1. Se establece el signo del monomio
producto, teniendo en cuenta la regla de
los signos de la multiplicación, que dice:
a)Signos iguales dan producto positivo.
b)Signos desiguales dan producto
negativo.
(+)(+) = + (+)(–) = –
(–)(–) = + (–)(+) = –

3. 2. Se multiplican los valores absolutos de los
coeficientes de los factores.
3. Se multiplica la parte literal teniendo en
cuenta la propiedad del producto de las
potencias de igual base, es decir, se suman
los exponentes de la misma variable.
aaa
yxyx 
.

4. Multiplica:
(–3a3x2)(7a2x4)

5. Multiplica:
(–5ap + 3xm)(7ap + 2xm + 3)

6. APLICO LO
APRENDIDO

7. Multiplica:
 (3a4b4)(–5a4b7)
 (–7x2y3)(–4x3y)(x4y7)
 (–3xm y2a)(3x3m y4a)
 (a2b)(–ab)(a3b3)(a4b5)
 (3xn)(–5xn+1)(8xn+2)
 (0,5a6b3)(0,3a5b3)
 (3a4b)(–5a8b7)(3a4b5c4)

8. Multiplica:
 (3x10y)(–6xy)
 (2m4n2)(5m2p)
 (4a2)( 8a3)
 (–4m4)(–6m2)
 (–3a2b2c2)(–8a4b)
 (5xy4)(–2x4)(–3xyz3)(–2)
 (–3ab)(–7a2)(–2ab3)(–4a5)

9. Multiplica:
 (2x)(3x2y4)
 (3x2y)(–2x4y4)
 (7xy2)(–3x2y4)
 (–2xy)(4x2y3)(4x)
 (4x2y)(–2xy2)(–3xy)
 (2x4yz)(3x4y)(2yz2)
 (7x2yz)(2xy2)(3yz2)

10. Multiplica:
 (2xa + 1)(4xa + 1)(3xa)
 (5a2x)(a2bx)(2x2)
 (2xy2)(–3xyz)(4xz5)
 (–10x2y)(–bx)(–2ax2y3)
 (–13xn)(–2xny)(2y)
 (–15xy2)(8x2y)(2z)
 (5x2y2)(–2xyz)(3yz3)

11. MULTIPLICACIÓN DE UN POLINOMIO
POR UN MONOMIO:
Para multiplicar un polinomio por un
monomio, se multiplica el monomio
por cada uno de los términos del
polinomio, sumando luego los
productos obtenidos.

12. Multiplica:
(–4x)(5x2 – 6x + 3)

13. APLICO LO
APRENDIDO

14. Multiplica:
 (a + b3 + c4)(ab2c)
 (a3 – 8ab2 – 5a2b + 10ab)(4ab3)
 (x5 – 10x4 + 7x3)(5x)
 (xm – 3xm+2 + 4xm+3)(xm+4)
 (a4 + 9a2b – 8)(–4ab)
 (5x)(3x2 + 2x + 8)
 (–2x)(10x2 + 4x – 13)

15. Multiplica:
 (x2)(x2 + 2x – 3)
 (2x4)(3x2 – 2x + 1)
 (3x)(x2 – 4xy + y2)
 (3x2)(12y3 + 7y2 – 8y)
 (–3a2b2)(–8a4b + 2ab – 3a)
 (5xy4)(–2x4 –3xy – 2)
 (–3ab)(–7a2 – 2ab3 – 4a5)

16. Multiplica:
 (–9xy2)(4x2 – 3xy + y2)
 (4x3 + 3xy + y2)(–2xy5)
 (7x2 + 2x – 3)(–7xy2)
 (4xy – 2x2 – 3y2)(–2x2y5)
 (2abc)(4a2 – 2ac – 4bc)
 (–5a2b)(–2a2 – 3b3 – 4c3)
 (–9a2bc)(7a3 – 3ab – 2a2c)

17. Multiplica:
 (–5a2b)(–2a2 – 3b3 – 4c3)
 (–9a2bc)(7a3 – 3ab – 2a2c)
 (–4xy2)(–2x3 – 3y2 – 2xy)
 (–7x2y)(2x4 – 3x2 – 2)
 (4bx – 1)(bx – 1 + 2b2x – 2bx)
 (4xy – 1)(2xy + 2 + xy – 2 + xy – 3)
 (3an – 1)(2an – 3 – 4an – 4 + an + 5)

18. ACTIVIDAD Nº 1

19. Multiplica:
 (–2xy)(–4x2y3)
 (–3x2y3)(9xy4)
 (–4x3y2)(8xy3)
 (2x)(3x2y4)
 (3x2y)(–2x4y4)
 (7xy2)(–3x2y4)
 (–2xy)(4x2y3)(4x)

20. Multiplica:
 (4x2y)(–9xy2)(–8xy)
 (5x4nz)(3x4n)(7nz2)
 (9x2ys)(8xy2)(2ys2)
 (2xa + 1)(14xa + 3)(7xa + 4)
 (15a2x)(–2a2bx)(4x2)
 (2xy2)(–7xyz)(6xz5)
 (–10x2y)(–3bx)(–7ax2y3)

21. Multiplica:
 (3x5)(2x – 3x2y + 5y2)
 (–7xy)(x2 – xy + y3)
 (–8x2)(x2 – 4xy + y3)
 (3a2x)(2x – 5a – b)
 (4x3 – 3x2 + 4)(–7x3)
 (8x7 – 3x2 + 2x)(–4x2)
 (2x4y3)(9x4 + y2 – 3)

22. Multiplica:
 (–3ax)(2ax – 3ax+1 – 5)
 (–7x2y)(2x3 – 3x2 + 2)
 (–2ax + 1)(ax+1 – 3ax – 4ax+2)
 (-3a2b)(a3 – 2ab + b3)
 (–7xy)(4x – 2y – 3x2)
 (–xy2)(4x3 – 3y2 + 2x)
 (–4y2)(4x2 – 3xy + y2)

23. Multiplica:
 (x2 + 2x – 3)(–3x)
 (2xy)(x2 – 3xy + y2)
 (2mn)(m2 – mn + n2)
 (3xy)(x2 – xy + y2)
 (2ab)(a2 – ab + b2)
 (2xy)(x2 + xy + y2)
 (–3ab)(a2 – 2ab – b2)

24. Multiplica:
 (–2xy)(x2 – xy + y2)
 (4nm)(n2 – mn + m2)
 (xz)(x2 – 4xz – z2)
 (5x)(4x2 – 3x + 7)
 (3x)(6x + 3m – 2)
 (7x)(2x3 –2x – 5)
 (7x2)(x2 – 3x + 4)