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Matemática01 - Matemática Básica (320)

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<strong>Matemática</strong> básica<br />

R:<br />

<strong>Matemática</strong><br />

PV-13-14<br />

45. D<br />

46. A<br />

47. D<br />

48. B<br />

49. E<br />

50. A<br />

51.<br />

a. x<br />

2<br />

52. E = 3<br />

1 2<br />

+ = t − 2<br />

2<br />

x<br />

b. x 3 + x –3 = t 3 – 3t<br />

53. (A + B) 2 = 4x 4 + 8 + 4 x 4<br />

54. E<br />

55. x<br />

56. B<br />

2<br />

1 2<br />

+ = b − 2<br />

2<br />

x<br />

57. a + b + c = 12<br />

58. C<br />

59. B<br />

60. D<br />

CAPÍTULO 03<br />

61.<br />

62.<br />

63. C<br />

64. A<br />

x + y<br />

x − y<br />

a. (5x + 7) 2<br />

b. (x – 1) 2<br />

c. a · (a – 5) 2<br />

d. 6.245.001<br />

65. a. (a – 2) · (a 2 + 2a + 4)<br />

b. (x + 1) · (x 2 – x + 1)<br />

c. (x + 1) · (x 2 + x +1)<br />

66. a. a 2<br />

+ a + 1<br />

a + 1<br />

m + n<br />

b.<br />

m<br />

c. 1<br />

67. a 3 + 1 3<br />

a = 18<br />

68.<br />

a. x 4 – y 4 = (x 2 – y 2 ) (x 2 + y 2 ) = (x 2 + y 2 )(x – y)(x + y)<br />

b. (a + b) 2 – c 2 = (a + b + c) (a + b – c)<br />

c. 4a 2 – 49b 2m = (2a – 7b m ) (2a + 7b m )<br />

d. (x + 3) 2 – (3x – 4) 2 = (x + 3 + 3x – 4) (x + 3 – 3x + 4) = (4x – 1) · (7 – 2x)<br />

69. a. (x + y) · (x + 2y + 1)<br />

b. (2a + 3b) · (2a – 3b)<br />

c. 4xy<br />

d. (x 2 + y 2 ) · (x + y) · (x – y)<br />

e. 6.249.999<br />

70. a. 2ab 2 · (3a 3 c + 4a 2 b 3 – 6bc 2 )<br />

b. (a + b) · (x + 2)<br />

c. (2 + a) · (x + y)<br />

d. (x + 1) · (x 2 – 3)<br />

e. (x – 2) · (x – 3)<br />

71. C<br />

72. E<br />

73. A<br />

74. A<br />

75. E<br />

76. C<br />

77. E<br />

78. A<br />

79. B<br />

80. x = 4, x ∈ <br />

CAPÍTULO 04<br />

81. a. 0,46<br />

b. 675<br />

82.<br />

83. C<br />

84. E<br />

85. B<br />

a. 0,64<br />

b. 1,427<br />

c. 0,0037<br />

d. 1,35<br />

e. 104%<br />

f. 80%<br />

103

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