Práctica Fracciones Algebraicas1. Simplifique las siguientes expresiones algebraicas.

1.39a65m

2.a2

a

3.8x2y

4.3xy9x2

5.12ab

16ab2

6.12x2y3

21x3y2

7.a2

ab

8.5a

35a2b

9.x2y2

x3y3

10.ax3

4x5y

11.6m2n3

3m

12.9x2y3

24a2x3y4

13.6xy2z4

9x2y2z3

14.a2b2

a4b

15.9x4

3x3

16.48a3b5

16a2b2

17.250x3y3z7

25x5y4z7

18.34a5b5c5

85a7b9x4

19.23a9x7

46a4x4y2

20.25x8

125x9y

21.21mn3x6

28m4n2x2

22.42a2c3n26a4c5m

23.17x3y4z6

34x7y8z10

24.30x6y2

45a3x4z3

25.a5b7

3a8b9c

26.21a8b10c12

63a4bc2

27.54x9y11z13

63x10y12z15

28.15a12b15c20

75a11b16c22

29.75a7m5

100a3m12n3

2. Factorice y simplifique las siguientes expresiones algebraicas

1.2m+8

5m+20

2.m2

m2 −mn

3.ax+bx

cx

4.2a2b

2a2x+2a3

5.6ab

6a2b−6ab2

6.m

m−m2

7.m−22−m

8.a−bb−a

9.m−nn−m

10.xy

3x2y−3xy2

11.10a2b3c

80(a3b−a2b)

12.x2y− xy2

9x−9y

13.12m+12n24x+24y

14.2ax+4bx3ay+6by

15.9a2b+12ab2

9a3b−15ab3

16.25rx−35ry35sx−49sy

17.4a2 −9b2

2a+3b

18.x2 −4

5ax+10a

19.4a2 −9b2

(2a−3b)2

20.ax+bx− cxay+by− cy

21.m2 −mn

m2 −2mn+n2

22.m2 −2mn+n2

m2 −n2

23.9x2 +6x+1

9x2 −1

24.a2b2c2 +2abc+1

a2b2c2 +abc

25.1+a+a2

3a2 +3a3 +3a4

26.m2 −5m+4m2 −3m−4

27.3m2 −5m+22m2 −5m+3

28.3x2 −4x−15

x2 −5x+6

29.x2 − y2

x2 +2xy+ y2

30.a2 −7a+12a2 −8a+15

31.a2 −3a−4

a2 −8a+16

32.x2 + x−6

x2 +5x+6

33.a2 +4a+3a2 −a−2

34.2a2 +9a+4

2a2 +11a+5

35.6x2 +5x−62x2 +5x+3

36.3x2y+15xy

x2 −25

37.a2 −4ab+4b2

a3 −8b3

38.x3 +4x2 −21x

x3 −9x

39.a3 +b3

a2 −b2

40.a3 +1

a4 −a3 +a−1

41.x2 − y2

x4 − y4

42.x3 − y3

x2 − y2

43.b6 − c6

b4 − c4

44.m6 −n6

m9 −n9

45.m2 +n2

m4 −n4

46.(m−n)2

m2 −n2

47.x3 + y3

(x+ y)3

48.(a− x)3

a3 − x3

49.m+1

(m+1)2 +m+1

50.(m+n)2 −3(m+n)

(m+n)2

51.(m3 +n3)m2 +n2)

m4 −n4

52.

(m2 +n2)2

m4 −n4

53.x2 −4x+4−x2 +5x−6

54.ax+ay−az

x2 − y2 +2yz− z2

55.m+n−2(m+n)2 +(m+n)3

(m+n)3

56.c2 −b2 +2ab−a2

a2 −b62+2bc− c2

57.ax+ay− cx− cyax+ay+ cx+ cy

58.2ac−2ad −3bc+3bd2ac−2ad +3bc−3bd

59.mn−2m+3n−6

mn−2m+3bc−3bd

60.3an−4a−6bn+8b

6n2 −5n−4

61.x−3

(2x−5)x−3

62.a−4

(3a−11)a−4

63.y−3

(5y−14)y−3

64.b−4

(4b−15)b−4

65.x+1

x(x+1)+(x+2)x+1

66.2b+1

3(2b+1)+2(3b+2)2b+1

67.(a+1)(2a−3)

−4(a+1)+(2a+3)a+1

68.(y+3)(2y−1)

2(y+3)+(2y+7)+3

69.m−am+n−an1−3a+3a2 −a3

70.a2 −a3 −1+aa2 +1−a3 −a