2012126026 DANIELA CALLE 2012126086 JEAN PIERRE MORELLI 2012126073 MARIA LASSO HERNÁNDEZ

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