TALLER MATEMÁTICAS EMPRESARIALES

2012126026 DANIELA CALLE

2012126086 JEAN PIERRE MORELLI

2012126073 MARIA LASSO HERNÁNDEZ

1.= x2+5x+6

2.= 3x2+x+6x+2

= 3x2+7x+2

3.= 16m2+32m-10m-20

= 16m2+22m-20

4.= 6w2-4wz+21wz-14z2

= 6w2+17wz-14z2

5.=x2 _ xy + xy _ y2

=x2 _ y2

6.= 25a2 _ 5ay + 5ay _ y2

= 25a2 _ y2

7.= [(x-2y) + (z-3r)]2

9 15

15 25

9 25

X

2 2bx 2bx 4b2

X2 4b2

= (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

8.= [(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)2-(x)2

= x4-2(x2)(2)+(2)2-x2

= x4-4x2+4-x2

=x4-5x2+4

10.

= (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. = (9h3+4k3)(9h3-4k3)

12.= c _ 1

4 c

2

13. = m + 3

14. = (6Y)2+19(6Y)-42

= (6Y+21) (6Y-2) /6

= (2Y+7)(3Y-1)

15.

=¿21¿ (21 r2−38+5 s2 ¿ )¿¿

¿¿=441 r2−38 (21r )+105 s2

. .. .. . .. .. . .. .. .. . .21

= (21 r−35 ) (21r+3 ). .. .. . .. .. . .. .. 21

=7 (3 r−5 )3 (7 r+1 ). .. .. . .. .. . .. .. . 21 = (3 r−5 ) (7 r+1 )

16. = (2a )3+(c−d )3=(2a+c−d )

= (2a+c−d ) [ (2a )2−(2a ) (c−d )+( c−d )2 ]¿ (2a+c−d ) (4 a−2ac+2ad+c22 (c ) (d )+d2)¿ (2a+c−d ) (4 a2−2ac+2ad+c2−2dc+a2 )

17. =

=( x6− y6) (x6+ y6)(x6+ y6)=(x3− y3) (x3+ y3)(x3+ y3)=( x− y ) (x2+xy+x2)(x3− y3 )=( x+ y ) (x2−xy+ y2 )

18. =

( x− y )+(−x2+ y2)( x− y )−(x2− y 2)( x− y )−( x− y ) (x+ y )( x− y ) [1−( x+ y ) ]( x− y ) (1−x− y )

2 n

2 2