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Ejercicio 90

Gestor Baldor
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DESCARGA
CAPITULO X

Descomposición Factorial
Ejercicio 90
Factorar o descomponer en dos factores:
  1. a( x+1 ) +b( x+1 ) =( x+1 ) ( a+b )
  2. x( a+1 ) –3( a+1 ) =( a+1 ) ( x–3 )
  3. 2( x–1 ) +y( x–1 ) =( x–1 ) ( 2+y )
  4. m( a–b ) +( a–b ) n=( a–b ) ( m+n )
  5. 2x( n–1 ) –3y( n–1 ) =( n–1 ) ( 2x–3y )
  6. a( n+2 ) +n+2 =a( n+2 ) +( n+2 ) =( n+2 ) ( a+1 )
  7. x( a+1 ) –a–1 =x( a+1 ) –( a+1 ) =( a+1 ) ( x–1 )
  8. a 2 +1–b( a 2 +1 ) =( a 2 +1 ) –b( a 2 +1 ) ( a 2 +1 ) ( 1–b )
  9. 3x( x–2 ) –2y( x–2 ) =( x–2 ) ( 3x–2y )
  10. 1–x+2a( 1–x ) =( 1–x ) +2a( 1–x ) =( 1–x ) ( 1+2a )
  11. 4x( m–n ) +n–m =4x( m–n ) –m+n =4x( m–n ) –( m–n ) =( m–n ) ( 4x–1 )
  12. –m–n+x( m+n ) =–( m+n ) +x( m+n ) =( m+n ) ( x–1 )
  13. a 3 ( a–b+1 ) – b 2 ( a–b+1 ) =( a–b+1 ) ( a 3 – b 2 )
  14. 4m( a 2 +x–1 ) +3n( x–1+ a 2 ) =4m( x–1+ a 2 ) +3n( x–1+ a 2 ) =( x–1+ a 2 ) ( 4m+3n )
  15. x( 2a+b+c ) –2a–b–c =x( 2a+b+c ) –( 2a+b+c ) =( 2a+b+c ) ( x–1 )
  16. ( x+y ) ( n+1 ) –3( n+1 ) =( n+1 ) [ ( x+y ) –3 ] =( n+1 ) ( x+y–3 )
  17. ( x+1 ) ( x–2 ) +3y( x–2 ) =( x–2 ) [ ( x+1 ) +3y ] =( x–2 ) ( x+3y+1 )
  18. ( a+3 ) ( a+1 ) –4( a+1 ) =( a+1 ) [ ( a+3 ) –4 ] =( a+1 ) ( a–1 )
  19. ( x 2 +2 ) ( m–n ) +2( m–n ) =( m–n ) [ ( x 2 +2 ) +2 ] =( m–n ) ( x 2 +2+2 ) =( m–n ) ( x 2 +4 )
  20. a( x–1 ) –( a+2 ) ( x–1 ) =( x–1 ) [ a–( a+2 ) ] =( x–1 ) ( a – a –2 ) =–2( x–1 ) =2( 1–x )
  21. 5x( a 2 +1 ) +( x+1 ) ( a 2 +1 ) =( a 2 +1 ) [ 5x+( x+1 ) ] =( a 2 +1 ) ( 6x+1 )
  22. ( a+b ) ( a–b ) –( a–b ) ( a–b ) =( a+b ) ( a–b ) – ( a–b ) 2 =( a–b ) [ ( a+b ) –( a–b ) ] =( a–b ) ( a +b– a +b ) =2b( a–b )
  23. ( m+n ) ( a–2 ) +( m–n ) ( a–2 ) =( a–2 ) [ ( m+n ) +( m–n ) ] =( a–2 ) ( m+ n +m– n ) =2m( a–2 )
  24. ( x+m ) ( x+1 ) –( x+1 ) ( x–n ) =( x+1 ) [ ( x+m ) –( x–n ) ] =( x+1 ) ( x +m– x +n ) =( x+1 ) ( m+n )
  25. ( x–3 ) ( x–4 ) +( x–3 ) ( x+4 ) =( x–3 ) [ ( x–4 ) +( x+4 ) ] =( x–3 ) ( x– 4 +x+ 4 ) =2x( x–3 )
  26. ( a+b–1 ) ( a 2 +1 ) – a 2 –1 =( a+b–1 ) ( a 2 +1 ) –( a 2 +1 ) =( a 2 +1 ) [ ( a+b–1 ) –1 ] =( a 2 +1 ) ( a+b–2 )
  27. ( a+b–c ) ( x–3 ) –( b–c–a ) ( x–3 ) =( x–3 ) [ ( a+b–c ) –( b–c–a ) ] =( x–3 ) [ a+ b – c – b + c +a ] =2a( x–3 )
  28. 3x( x–1 ) –2y( x–1 ) +z( x–1 ) =( x–1 ) ( 3x–2y+z )
  29. a( n+1 ) –b( n+1 ) –n–1 =a( n+1 ) –b( n+1 ) –( n+1 ) =( n+1 ) ( a–b–1 )
  30. x( a+2 ) –a–2+3( a+2 ) =x( a+2 ) –( a+2 ) +3( a+2 ) =( a+2 ) ( x–1+3 ) =( a+2 ) ( x+2 )
  31. ( 1+3a ) ( x+1 ) –2a( x+1 ) +3( x+1 ) =( x+1 ) [ ( 1+3a ) –2a+3 ] =( x+1 ) ( 1+3a–2a+3 ) =( x+1 ) ( a+4 )
  32. ( 3x+2 ) ( x+y–z ) –( 3x+2 ) –( x+y–1 ) ( 3x+2 ) =( 3x+2 ) [ ( x+y–z ) –1–( x+y–1 ) ] =( 3x+2 ) [ x + y –z– 1 – x – y + 1 ] =–z( 3x+2 )
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