Ejercicio 122

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CAPITULO XIII

Reducción de fracciones
Reducir una fracción a términos mayores
Ejercicio 122
Completar:
  1. 3 2a = 4 a 2 4 a 2 ÷ 2a =2a 3 × 2a =6a 6a 4 a 2
  2. 5 9 x 2 = 20a 20a ÷ 5 =4a 9 x 2 × 4a =36a x 2 20a 36a x 2
  3. m a b 2 = 2 a 2 b 2 2 a 2 b 2 ÷ a b 2 =2a m × 2a =2am 2am 2 a 2 b 2
  4. 3x 8y = 9 x 2 y 2 9 x 2 y 2 ÷ 3x =3x y 2 8y × 3x y 2 =24x y 3 9 x 2 y 2 24x y 3
  5. 4m 5 n 2 = 5 n 3 5 n 3 ÷ 5 n 2 =n 4m × n =4mn 4mn 5 n 3
  6. 2x+7 5 = 15 15 ÷ 5 =3 3(2x+7 ) =6x+21 6x+21 15
  7. 2x x1 = x 2 x x 2 x ÷ x1 =x(x1 ) ÷ x1 =x x × 2x =2 x 2 2 x 2 x 2 x
  8. a 2 a+2 = 2 a 3 2 a 3 ÷ a 2 =2a 2a(a+2 ) =2 a 2 +4a 2 a 3 2 a 2 +4a
  9. 3a a+b = a 2 +2ab+ b 2 a 2 +2ab+ b 2 ÷ a+b = (a+b ) 2 ÷ a+b =a+b 3a(a+b ) =3 a 2 +3ab 3 a 2 +3ab a 2 +2ab+ b 2
  10. x4 x+3 = x 2 +5x+6 x 2 +5x+6 ÷ x+3 =(x+3 ) (x+2 ) ÷ x+3 =x+2 (x+2 ) (x4 ) = x 2 2x8 x 2 2x8 x 2 +5x+6
  11. 2a x+a = 2 a 3 2 a 3 ÷ 2a = a 2 a 2 (x+a ) = a 2 x+ a 3 2 a 3 a 2 x+ a 3
  12. xy 6 = 12 12 ÷ 6 =2 2(xy ) =2x2y 2x2y 12
  13. 5x ab = a 2 b 2 a 2 b 2 ÷ ab =(ab ) (a+b ) ÷ ab =a+b 5x(a+b ) =5ax+5bx 5ax+5bx a 2 b 2
  14. x5 a = 3 x 2 15x 3 x 2 15x ÷ x5 =3x(x5 ) ÷ x5 =3x a × 3x =3ax 3 x 2 15x 3ax
  15. 5x 2x+y = 4 x 2 +4xy+ y 2 4 x 2 +4xy+ y 2 ÷ 2x+y = (2x+y ) 2 ÷ 2x+y =2x+y 5x(2x+y ) =10 x 2 +5xy 10 x 2 +5xy 4 x 2 +4xy+ y 2
  16. x+3 x+1 = x 2 9 x 2 9 ÷ x+3 =(x+3 ) (x3 ) ÷ x+3 =x3 (x+1 ) (x3 ) = x 2 2x3 x 2 9 x 2 2x3
  17. 2 a+1 = a 3 +1 a 3 +1 ÷ a+1 =(a+1 ) ( a 2 a+1 ) ÷ a+1 = a 2 a+1 2( a 2 a+1 ) =2 a 2 2a+2 2 a 2 2a+2 a 3 +1
  18. x2y 3x = 9 x 2 y 9 x 2 y ÷ 3x =3xy 3xy(x2y ) =3 x 2 y6xy 3 x 2 y6x y 2 9 x 2 y
  19. x1 x+1 = x 2 1 x 2 1 ÷ x1 =(x1 ) (x+1 ) ÷ x1 =x+1 (x+1 ) (x+1 ) = (x+1 ) 2 x 2 1 (x+1 ) 2
  20. ab 7 a 2 = 63 a 3 b 63 a 3 b ÷ 7 a 2 =9ab 9ab(ab ) =9 a 2 b9a b 2 9 a 2 b9a b 2 63 a 3 b
  21. x+1 x+5 = x 2 +3x10 x 2 +3x10 ÷ x+5 =(x+5 ) (x2 ) ÷ x+5 =x2 (x+1 ) (x2 ) = x 2 x2 x 2 x2 x 2 +3x10