Special Products Excercises, Exercises of Mathematics

Excercisies to practioce special products

Typology: Exercises

2025/2026

Uploaded on 04/20/2026

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ACTIVIDAD PRODUCTOS NOTABLES
Nombre:_______________________________________ Grado: _______ Grupo:______
Instrucción. Contesta los productos notables con el método visto en clase. Indica en cada caso el
nombre del producto notable.
Nombre del Producto Notable
1.
(
x
2
)
2=¿
2.
(
x
+5
) (
x
5
)
=¿
3.
(
y
+3
)
2=¿
4.
(
3
a
5
) (
3
a
+1
)
=¿
5.
(
4
s
5
t
) (
4
t
+5
t
)
=¿
6.
(
8
x
3
)
2=¿
7.
(6
y
+2)( 6
y
3)=¿
8.
9.
(4
m
2)( 5+4
m
)=¿
10.
(
5
x
+4
)
2=¿
11.
(
4
t
8
)
2=¿
12.
(7
x
+8
y
)( 7
x
8
y
)=¿
13.
(9
x
)(
x
+9)=¿
14.
(
y
7
)
2=¿
15.
(3
m
+2)( 3
m
5)=¿
16.
(6
u
+4)(−4+6
u
)=¿
17.
(8
i
+2
j
)( 8
i
+3
j
)=¿
18.
(
v
+2)(
v
2)=¿
19.
(
x
+2
)
2=¿
20.
(
y
+2)(
y
5)=¿
21.
(
x
+8)(
x
7)=¿
22.
(
t
6
)
2=¿
23.
(8
y
+5)( 8
y
5)=¿
24.
(5
u
2)( 6+5
u
)=¿
25.
(4
r
+5)(−5+4
r
)=¿
26.
(
4
n
+6
m
)
2=¿
27.
(
x
+8)(
x
5)=¿
28.
(2
y
+6)(−7+2
y
)=¿
29.
(
t
+1)(−1+
t
)=¿
30.
(
2
p
+12
)
2=¿
31.
(
5
y
+3
x
)
2=¿
pf2

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ACTIVIDAD PRODUCTOS NOTABLES

Nombre:_______________________________________ Grado: _______ Grupo:______ Instrucción. Contesta los productos notables con el método visto en clase. Indica en cada caso el nombre del producto notable. Nombre del Producto Notable

1. ( x − 2 )

2 =¿

2. ( x + 5 ) ( x − 5 )=¿

3. ( y + 3 )

2 =¿

4. (^3 a^ −^5 )^ (^3 a^ +^1 )=¿

5. (^4 s^ −^5 t^ )^ (^4 t^ +^5 t^ )=¿

6. ( 8 x − 3 )

2 =¿

7. (^6 y^ +^2 )(^6 y^ −^3 )=¿

8. (^3 x^ +^1 )(^3 x^ −^1 )=¿

9. (^4 m^ −^2 )(^5 +^4 m^ )=¿

10. ( 5 x + 4 )

2 =¿

11. ( 4 t − 8 )

2 =¿

12. (^7 x^ +^8 y^ )(^7 x^ −^8 y^ )=¿

13. (^9 −^ x^ )(^ x^ +^9 )=¿

14. ( y − 7 )

2 =¿

15. (^3 m^ +^2 )(^3 m^ −^5 )=¿

16. (^6 u^ +^4 )(−^4 +^6 u^ )=¿

17. (^8 i^ +^2 j^ )(^8 i^ +^3 j^ )=¿

18. ( v + 2 )( v − 2 )=¿

19. ( x + 2 )

2 =¿

20. (^ y^ +^2 )(^ y^ −^5 )=¿

21. (^ x^ +^8 )(^ x^ −^7 )=¿

22. ( t − 6 )

2 =¿

23. (^8 y^ +^5 )(^8 y^ −^5 )=¿

24. (^5 u^ −^2 )(^6 +^5 u^ )=¿

25. (^4 r^ +^5 )(−^5 +^4 r^ )=¿

26. ( 4 n + 6 m )

2 =¿

27. (^ x^ +^8 )(^ x^ −^5 )=¿

28. (^2 y^ +^6 )(−^7 +^2 y^ )=¿

29. (^ t^ +^1 )(−^1 +^ t^ )=¿

30. ( 2 p + 12 )

2 =¿

31. ( 5 y + 3 x )

2 =¿

32. (^ r^ +^ t^ )(^ r^ −^ t^ )=¿

33. ( r + 5 )( r − 7 )=¿

34. ( 5 i + 4 )

2 =¿

35. (^4 f^ +^2 )(^4 f^ −^2 )=¿

36. (^ w^ −^3 s^ )(^ w^ +^5 s^ )=¿

37. (^3 c^ +^2 b^ )(−^5 c^ +^2 b^ )=¿

38. ( 4 b

2

− 3 a

3

)( 4 b

2

+ 3 b

3 )=¿

39. (^) ( 5 x 5 + 3 ) 2 =¿ 40. ( x 3 − y 6 ) 2 =¿

41. (^12 x^ +^8 y^ )^ (^8 y^ −^5 x^ )=¿

42. ( y + 8 ) (− y + 8 )=¿

43. ( 4 x + 2 ) ( 4 x − 3 )=¿

44. ( 2 x + 3 )

2 =¿

45. (^3 x^ +^5 )(^3 x^ −^2 )=¿

46. ( y + 9 )

2 =¿

47. (^ t^ +^6 )(^ t^ −^4 )=¿

48. (^3 x^ +^6 )(^3 x^ −^6 )=¿

49. ( 2 w + 5 )

2 =¿

50. ( y − 7 )( x − 8 )=¿

51. (^) ( 5 x 3 + 7 y 4 ) 2 =¿

52. ( x + 4 )( x − 10 )=¿

53. (^3 x^ +^7 )(^3 x^ −^7 )=¿

54. (^2 y^ +^7 )(^2 y^ −^3 )=¿

55. ( 3 xy + 7 z )

2 =¿

56. ( xy − 3 )( xy − 2 )=¿

57. ( 3 r

2

+ 5 )(− 5 + 3 r

2 )=¿

58. (^) ( 8 x 2 + 7 ) 2 =¿

59. ( 4 y

3

+ 10 )( 4 y

3 − 10 )=¿

60. (^) ( 7 x 2 y + 3 z ) 2 =¿

61. ( 3 w

2

− 6 )( 3 w

2

  • 8 )=¿

62. (^7 +^5 x^ )(−^7 +^5 x^ )=¿

63. (^2 x^ −^5 )(^2 x^ −^12 )=¿

64. ( 11 x

2

+ 2 )( 11 x

2 − 3 )=¿

65. ( 12 x + 15 y )( 12 x − 15 y )=¿