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PRODUCTOS NOTABLES

Total questions: 13

Worksheet time: 36mins

Name
Class
Date
1.

 (0,34x2y3+21z)(0,34x2y321z)\left(0,34x^2y^3+21z\right)\left(0,34x^2y^3-21z\right)  

a)

 0,1156x4y6+441z20,1156x^4y^6+441z^2  

b)

 0,1156x4y6441z20,1156x^4y^6-441z^2  

c)

 0,1156x4y5441z20,1156x^4y^5-441z^2  

d)

 0,1156x4y5+441z20,1156x^4y^5+441z^2  

2.

 (2p+12q)2\left(2p+\frac{1}{2}q\right)^2  

a)

 4p2+pq+14q24p^2+pq+\frac{1}{4}q^2  

b)

 4p22pq+14q24p^2-2pq+\frac{1}{4}q^2  

c)

 4p2+2pq+14q24p^2+2pq+\frac{1}{4}q^2  

d)

 4p2+2pq14q24p^2+2pq-\frac{1}{4}q^2  

3.

 (23dh45g)2\left(\frac{2}{3}dh^{-4}-5g\right)^2  

a)

 49d2h8+203dh4g+25g2\frac{4}{9}d^2h^{-8}+\frac{20}{3}dh^{-4}g+25g^2  

b)

 49d2h8203dh4g+25g2\frac{4}{9}d^2h^{-8}-\frac{20}{3}dh^{-4}g+25g^2  

c)

 49d2h8203dh4g25g2\frac{4}{9}d^2h^{-8}-\frac{20}{3}dh^{-4}g-25g^2  

d)

 49d2h8+203dh4g25g2\frac{4}{9}d^2h^{-8}+\frac{20}{3}dh^{-4}g-25g^2  

4.

 (12v2w3+3x)(12v2w3+3x)\left(12v^2w^3+3x\right)\left(12v^2w^3+3x\right)  

a)

 144v4w672v2w3+9x2144v^4w^6-72v^2w^3+9x^2  

b)

 144v4w6+72v2w39x2144v^4w^6+72v^2w^3-9x^2  

c)

 144v4w6+72v2w3+9x2144v^4w^6+72v^2w^3+9x^2  

d)

 144v4w5+72v2w3+9x2144v^4w^5+72v^2w^3+9x^2  

5.

 (34r8b+523t9c+3)(34r8b+523t9c+3)\left(34r^{-8b+5}-23t^{9c+3}\right)\left(34r^{-8b+5}-23t^{9c+3}\right)  

a)

 1156r16b+10+1564r8b+5t9c+3+529t18c+61156r^{-16b+10}+1564r^{-8b+5}t^{9c+3}+529t^{18c+6}  

b)

 1156r16b+101564r8b+5t9c+3529t18c+61156r^{-16b+10}-1564r^{-8b+5}t^{9c+3}-529t^{18c+6}  

c)

 1156r16b+10+1564r8b+5t9c+3529t18c+61156r^{-16b+10}+1564r^{-8b+5}t^{9c+3}-529t^{18c+6}  

d)

 1156r16b+101564r8b+5t9c+3+529t18c+61156r^{-16b+10}-1564r^{-8b+5}t^{9c+3}+529t^{18c+6}  

6.

 (12r6+9f)3\left(12r^6+9f\right)^3  

a)

 1728r9+3888r8f+2916r6f3+729f41728r^9+3888r^8f+2916r^6f^3+729f^4  

b)

 1728r18+1296r12f+972r6f2+729f31728r^{18}+1296r^{12}f+972r^6f^2+729f^3  

c)

 1728r18+3888r12f+2916r6f2+729f31728r^{18}+3888r^{12}f+2916r^6f^2+729f^3  

d)

 1728r9+1296r8f+972r6f2+729f41728r^9+1296r^8f+972r^6f^2+729f^4  

7.

 (7x34ay25b+5h15c)(7x34ay25b5h15c)\left(7x^{\frac{3}{4}a}y^{\frac{2}{5}b}+5h^{\frac{1}{5}c}\right)\left(7x^{\frac{3}{4}a}y^{\frac{2}{5}b}-5h^{\frac{1}{5}c}\right)  

a)

 49x64ay45b25h25c49x^{\frac{6}{4}a}y^{\frac{4}{5}b}-25h^{\frac{2}{5}c}  

b)

 49x68ay410b25h210c49x^{\frac{6}{8}a}y^{\frac{4}{10}b}-25h^{\frac{2}{10}c}  

c)

 49x64ay45b+25h25c49x^{\frac{6}{4}a}y^{\frac{4}{5}b}+25h^{\frac{2}{5}c}  

d)

 49x68ay410b+25h210c49x^{\frac{6}{8}a}y^{\frac{4}{10}b}+25h^{\frac{2}{10}c}  

8.

 (12x323s)(12x33s)\left(\frac{1}{2}x^3-23s\right)\left(\frac{1}{2}x^3-3s\right)  

a)

 14x6+18s+69s2\frac{1}{4}x^6+18s+69s^2  

b)

 14x618s69s2\frac{1}{4}x^6-18s-69s^2  

c)

 14x618s+69s2\frac{1}{4}x^6-18s+69s^2  

d)

 14x6+18s69s2\frac{1}{4}x^6+18s-69s^2  

9.

¿Cuál de las siguientes respuestas es el correcto orden de las operaciones?

a)

1. xn 1.\ x^{n\ \ }\sqrt{ } 2. ()[]2.\ \left(\right)\left[\right] 3. ×÷\ 3.\ \times\div 4.+4.+-

b)

1. () []1.\ \left(\right)\ \left[\right] 2. xn 2.\ x^{n\ \ }\sqrt{ } 3. ×÷3.\ \times\div 4. +4.\ +-

c)

1.()[]1.\left(\right)\left[\right]^{ } 2. xn 2.\ x^{n\ }\sqrt{ } 3. +3.\ +- 4.×÷4.\times\div

d)

1. xn 1.\ x^{n\ \ }\sqrt{ }\ 2. ()[]2.\ \left(\right)\left[\right] 3. + 3.\ +-\ 4.×÷4.\times\div

10.

 (r6p+9f)3\left(r^{6p}+9f\right)^3  

a)

 r9p+27r8pf+243r6pf3+729f4r^{9p}+27r^{8p}f^{ }+243r^{6p}f^3+729f^4  

b)

 r18p+27r12pf+243r6pf2+729f3r^{18p}+27r^{12p}f+243r^{6p}f^2+729f^3  

c)

 r18p27r12pf+243r6pf2729f3r^{18p}-27r^{12p}f+243r^{6p}f^2-729f^3  

d)

 r9p+27r8pf+243r6pf3+729f4r^{9p}+27r^{8p}f^{ }+243r^{6p}f^3+729f^4  

11.

 (2g69y5r+9)3\left(2g^6-9y^{5r+9}\right)^3  

a)

 8g12+108g12y5x+9486g6y10x+18+729y15r+27-8g^{12}+108g^{12}y^{5x+9}-486g^6y^{10x+18}+729y^{15r+27}  

b)

 r18p+27r12pf+243r6pf2+729f3r^{18p}+27r^{12p}f+243r^{6p}f^2+729f^3  

c)

 8g9108g8y5x+9+486g6y8x+11729y8r+118g^9-108g^8y^{5x+9}+486g^6y^{8x+11}-729y^{8r+11}  

d)

 8g18108g12y5x+9+486g6y10x+18729y15r+278g^{18}-108g^{12}y^{5x+9}+486g^6y^{10x+18}-729y^{15r+27}  

12.

 (2x3m+2+5hc)(2x3m+24hc)\left(2x^{3m+2}+5h^c\right)\left(2x^{3m+2}-4h^c\right)  

a)

 4x6m+4+2hcx3m+2+20h2c4x^{6m+4}+2h^cx^{3m+2}+20h^{2c}  

b)

 4x6m+4+2hcx3m+220h2c4x^{6m+4}+2h^cx^{3m+2}-20h^{2c}  

c)

 4x6m+42hcx3m+220h2c4x^{6m+4}-2h^cx^{3m+2}-20h^{2c}  

d)

 4x6m+42hcx3m+2+20h2c4x^{6m+4}-2h^cx^{3m+2}+20h^{2c}  

13.

 42c2t3(21a2c5+12ft13)42c^2t^{-3}\left(21a^2c^{-5}+12ft^{-13}\right)  

a)

 882a2c3t3+504c2ft16882a^2c^{-3}t^{-3}+504c^2ft^{-16}  

b)

 882a2c7t3+504c2ft16882a^2c^{-7}t^{-3}+504c^2ft^{-16}  

c)

 882a2c3t3+504c2ft16882a^2c^3t^{-3}+504c^2ft^{16}  

d)

 882a2c3t3+504c2ft16882a^2c^{-3}t^{-3}+504c^2ft^{16}