More Related Content Similar to Taller matemáticas empresariales. (20) More from Daniela Vélez (10) Taller matemáticas empresariales.1. TALLER MATEMÁTICAS EMPRESARIALES
2012126026 DANIELA CALLE
2012126086 JEAN PIERRE MORELLI
2012126073 MARIA LASSO HERNÁNDEZ
1. x 2 x 3
= x2+5x+6
2. 3x 1 x 2
= 3x2+x+6x+2
= 3x2+7x+2
3. 8m 5 2m 4
= 16m2+32m-10m-20
= 16m2+22m-20
4. 2w 7 z 3w 2z
= 6w2-4wz+21wz-14z2
= 6w2+17wz-14z2
x y x y
5.
3 5 3 5 =x2 _ xy + xy _ y2
9 15 15 25
= x2 _ y 2
9 25
5a y 5a y
6.
x 2b x 2b = 25a2 _ 5ay + 5ay _ y2
X2 2bx 2bx 4b2
= 25a2 _ y2
X2 4b2
2
7. x 2 y z 3r
= [(x-2y) + (z-3r)]2
= (x-2y)2+2[(x-2y)(z-3r)]+(z-3r)2
= x2-2(x)(2y)+y2+2(xy-3rx-2yz+6yr)+z2-2(z)(3r)+(3r)2
= x2-4xy+y2+2xy-6rx-4yz+12yr+z2-6rz+9r2
= x2-2xy+y2-6rx-4yz+12yr+z2-6rz+9r2
2. 8. 2 a b 3 3 a b 2
= [(2a+2b)-3][(3a+3b)+2]
= (2a+2b).(3a+3b)+2(2a+2b)-3(3a+3b)-6
= 6a2+6ab+6ab+6b2+4a+4b-9a-9b-6
= 6a2+12ab+6b2-5a-5b-6
9. x2 2 x x2 2 x
= (x2-2)2-(x)2
= x4-2(x2)(2)+(2)2-x2
= x4-4x2+4-x2
=x4-5x2+4
10. 2m5 m2 m4 1 2 m5 m 2 m4 1
= (2m5+m2)2-(m4+1)2
= [(2m5)2+2(2m5)(m2)+(m2)2]-[(m4)2+2(m4)(1)+(1)2]
=4m10+4m7+m4-(m8+2m4+1)
= 4m10+4m7+m4-m8-2m4-1
=4m10+4m7-m4-m8-1
11. 81h8 16k 6 = (9h3+4k3)(9h3-4k3)
c2 1 1
12.
16 2 c2 = c _ 1 2
4 c
m2 3m 9
13. 2
4 n2 n4 = m + 3
2
2 n
14. 6r 2 19r 7 = (6Y)2+19(6Y)-42
= (6Y+21) (6Y-2) /6
= (2Y+7)(3Y-1)
2 2 21r 2 38 5s 2 441 r 2 38 (21r ) 105 s 2
15. 21r 38rs 5s 21
..........
21 .......... ......... 21
21r 35 21r 3 7 3r 5 3 7r 1
3r 5 7r 1
.......... 21
..... .......... 21
......
3. 3 3 3 3
16. 8a c d 2a c d 2a c d
2 2
2 a c d 2a 2a c d c d
2a c d 4a 2ac 2ad c 2 2 c d d2
2a c d 4a 2 2ac 2ad c 2 2dc a 2
x6 y6 x6 y6
12
17. x y12 = x6 y6 x3 y3 x3 y3
x3 y3 x y x2 xy x2
3 3 2
x y x y x xy y2
x y x2 y2
x y x2 y2
2 2
18. x y x y
= x y x y x y
x y 1 x y
x y 1 x y