# Elaboracion de perfumes caseros

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• Publicado : 19 de marzo de 2011

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CASO Nº I DE FACTORIZACION

1. X2 + X = X ( X + 1 )
2. 5m2 + 15m3 = 5m2 ( 1 + 3m )
3. X2y + x2z = x2 ( y + z )
4. 2a2x + 6ax2 = 2 a ( ax + 3x2 )
5. 9a3x2 – 18ax3 = 9ax2 ( a2 –2x )
6. 15c3d2 + 60c2d3 = 15c2d2 ( c + 4d )
7. 35m2n3 – 70m3 = 35m2 (n3 -2m )
8. ab – bc = b ( a – c )
9. a3 + a2 + a = a ( a2 +a + 1 )
10. 4x2 + 2 – 8x = 2 ( 2x2 + 1 -4x )11. 15y3 + 20y2 – 5y = 5y ( 3y2 + 4y -1 )
12. 14x2y2 – 28x3 + 56x4 = 14x2 ( y2 – 2x +4x2 )
13. 34ax2 + 51 a2y – 68ay4 = 17 a ( 2x2 + 3ay – 4y4 )
14. 96 – 48mn2 + 144n3 = 48 ( 2 - mn2 +3n3)
15. 55m2n3x + 110m2n3x2 – 220m2xy3 = 55m2x ( n3 + 2n3x – 4y3 )
16. 24 a2xy2 – 36x2y4 = 12xy2 ( 2 a2 – 3xy2 )
17. 8 a3b – 4 a2b3c – 12 a5b4c3 = 4 a2b ( 2a – b2c – 3a3b3c3 )
18.25x3y – 15x2y2 + 5xy3 – 104x4y = 5xy ( 5x2 – 3xy + y2 )
19. 6m2 – 10mv = 2m ( 3m – 5v )
20. ( a + b ) ( a – b ) – ( a – b ) (a – b )
( a – b ) ( a + b –( a – b) )
( a – b ) ( a+ b – a + b )
(a – b ) ( 2b)
21. (m + n ) (a – 2 ) + ( m – n ) (a – 2 )
(a – 2 ) (m + n +m – n )
( a – 2 ) (2m)
22. (1 + 3a ) (x + 1 ) – 2a ( x + 1 ) + 3 ( x + 1 )
( x + 1 ) ( 1 + 3a– 2a + 3 )
( x + 1 ) ( 4 + a )
23. a ( n + 2 ) + n + 2
(n + 2 ) (a + 1 )
24. a 3 ( a – b + 1 ) – b2 ( a – b + 1 ) + 1 ( a – b + 1 )
( a – b + 1 ) ( a3 – b2 + 1 )

CASO NUMERO IIDE FACTORIZACION

25. 2y + 2X2Y – 3Z – 3X2Z
2Y ( 1 + X2 ) – 3Z ( 1 + X2 )
( 1 + X2 ) ( 2Y – 3Z )

26. 3 a3 – 3a2b + 9ab2 – a2 + ab – 3b2
3a ( a2 - ab + 3b2 ) – 1 (a2 – ab + 3b2)
(a2– ab + 3b2 ) (3a – 1 )

27. 6x2 + 3xy – 10xy2 – 5y3
3x ( 2x + y ) – 5y2 ( 2x + y )
( 2x + y ) ( 3x – 5y2 )

28. a2x2 – 3bx2 + a2y2 – 3by2
a2 ( x2 + y2 ) – 3b ( x2 + y2 )
(x2 +y2 ) ( a2 – 3b )
29. 2 a2x – 5 a2y + 15by – 6bx
2x ( a2 – 3b ) – 5y ( a2 – 3b )
( a2 – 3b ) ( 2x – 5y )
30. 2x3 – nx2 + 2xz2 – nz2 – 3ny2 + 6xy2
2x ( x2 + z2 + 3y2 ) – n ( x2 + z2 +...