jueves, 23 de octubre de 2008

respuesta del ejercicio 106 del algebra de baldor 31-90

(9ab)² + 2(9ab) + 1
(9ab + 1)(9ab + 1) R/ (1 + 9ab)²
79 4a6 - 1
2a³ 1
(2a³ + 1)(2a³ - 1) R/ (2a³ + 1)( 2a³ - 1)
80 x6 - 4x³ - 480
(x³ - 24)(x³ + 20) R/ (x³ - 24)(x³ + 20)
81 ax - bx + b - a - by + ay
x(a - b)+y(a - b)-1(a - b) R/ (a - b)(x + y - 1)
82 6am - 3m -2a +1
3m(2a - 1) - 1(2a - 1) R/ (3m - 1)(2a - 1)
83 15 + 14x - 8x²
-8x² + 14x + 15
(4x + 3)(-2x + 5) R/ (3 + 4x)(5 - 2x)
84 a10 - a8 + a6 + a4
a4(a6 - a4 + a² + 1) R/ a4(a6 - a 4 + a² +1)
85 2x(a - 1)- a + 1
2ax - 2x - a + 1
a(2x - 1)-1(2x - 1) R/ (2x - 1)(a - 1)
86 (m + n)(m - n) + 3n(m - n)
m - n[m + n + 3n]
(m - n)(m + 4n) R/ (m + 4n)(m - n)
87 a² - b³ + 2b³x² - 2a²x²
a² - 2a²x² - b³ + 2b³x²
a²(1 - 2x²) - b³(1 - 2x²)
(a² - b³)(1 - 2x²) R/ (a² - b³)(1- 2x²)
88 2am - 3b - c - cm - 3bm + 2a
m(2a - c - 3b)+ 1(2a - 3b - c) R/ (m + 1)(2a - 3b - c)
89 x² - 2/3x + 1/9
(x - 1/3)(x + 1/3) R/ (x - 1/3)²
90 4a2n - b4n
(2ªn + b2n) (2ªn - b2n) R/ (2ªn + b2n) (2ªn - b2n)











31 1 - m³ R/ (1 - m)(1 + m + m²)
32 x² - a² + 2xy + y² + 2ab -b² R/ (x + y + a -b)( x + y - a + b)
33 21m5n - 7m4n² + 7m³n³ - 7m²n R/ 7m²n(3m³ - m²n + mn² - 1)
34 a(x + 1) - b(x + 1) + c(x + 1)
(x + 1)(a - b + c) R/ (x + 1)(a - b + c)
35 4 + 4(x - y) + (x - y)²
4 + 4x - 4y + (x - y)²
36 1 - a²b4
(1 - ab²)(1 + ab²) R/ (1 - ab²)(1 + ab²)
37 b² + 12ab + 36a²
b 6ª
(6a + b)(6a + b)
(6ª + b)² R/ (6ª + b)²
38 x6 + 4x³ - 77
(x³ - 7)(x³ + 11) R/ (x³ - 7)(x³ + 11)
39 15x4 - 17x² - 4
(15x²) - 17(15x²) - 60
(15x² - 20) (15x² + 3)/ 3 x 5
(3x² - 4)(5x² + 1) R/ (3x² - 4)(5x² + 1)
40 1 + (a - 3b)³
1 + a³ - (3b)³
(1 + a - 3b)(1 - a + 3b + a² - 2a(3b) - 9b²) R/ (1 + a - 3b)(1 - a + 3b + a² - 6ab - 9b²)
41 x4 + x² + 25
(x² + x + 5)(x² - x + 5) R/ (x² + x + 5)(x² - x + 5)
42 a8 - 28a4 + 36
(a4 - 4a² + 6)( a4 - 4a² - 6) R/ (a4 - 4a² + 6)( a4 - 4a² - 6)
43 343 + 8a³
8a³ + 343
(2a + 7)[(2a)² - 2(7a) + (7)²]
(2a + 7)(4a² - 14a + 49) R/ (2a + 7) (4a² - 14a + 49)
44 12a²bx - 15a²by
(3a²b)(4x - 5y) R/ (3a²b)(4x - 5y)
45 x² + 2xy - 15y²
(x - 3y)(x + 5y) R/ (x - 3y)(x + 5y)
46 6am - 4an - 2 n + 3m
47 81a6 - 4b2c8
48 16 -(2a + b)²
16 - 4a² + b²
(4 + 2a + b) (4 - 2a - b) R/ (4 + 2a + b)( 4 - 2a - b)
49 20 - x -x²
-x² - x + 20 (-1)
x² + x - 20
(x + 5)(x - 4) R/ (x + 5)(x - 4)
50 n² + n - 42
(n + 7)(n - 6) R/ (n + 7)(n - 6)
51 a² - d² + n² - c² - 2an - 2cd R/ (a - n + c + d)(a - n - c - d)
52 1 + 216x9
(1 + 6x³)(1 - 2(1)(6x³) + (6x³)²)
(1 + 6x³)(1 - 12x³ + 36x6) R/ (1 + 6x³)(1 - 12x³ + 36x6)
53 x³ - 64
(x - 4)(x² - 2(x)(4) + (4)²)
(x - 4)(x² - 8x + 16) R/ (x - 4)(x² - 8x + 16)
54 x³ - 64x4
x³(1 - 64x) R/ x³(1 - 64x)
55 18ax5y3 - 36x4y3 - 54x2y8
18x²y³(ax³ - 2x² - 3y5) R/ 18x²y³(ax³ - 2x² - 3y5)
56 49a²b² - 14ab + 1
7ab 1
(7ab - 1)² R/ (7ab - 1)²
57 (x + 1)² - 81
x² + 2x + 1 - 81
(x - 8)(x + 10) R/ (x - 8)(x + 10)
58 a² - (b + c)²
a² - b² + c²
(a - b - c)(a + b + c) R/ (a + b + c)(a - b - c)
59 (m + n)² - 6 (m + n) + 9
m+n 3
(m + n - 3) (m + n - 3) R/(m + n - 3)²
60 7x² + 31x - 20
7(7x²) - 7(31x) - 20 (7)
7x² - 31(7x) - 140
(7x + 35)(7x - 4)/1 x 7
(x + 5)(7x - 4) R/ (x + 5)(7x - 4)
61 9a³ + 63a - 45a²
9a³ - 45a² + 63ª
9a (a² - 5ª + 7) R/ 9a (a² - 5a + 7)
62 ax + a - x -1
(a - 1)(x + 1) R/ (a - 1)(x + 1)
63 81x4 + 25y2 - 90x²y
9x² 5y
(9x² - 5y)(9x² - 5y)
(9x² - 5y)² R/ (9x² - 5y)²
64 1 - 25b² + b4
1 -5b+b²
(1 - 5b - b²)(1 + 5b - b²) R/ - 5b - b²)(1 + 5b - b²)
65 m4 + m2n2 + n4
m² mn n²
(m² + mn + n²)(m² - mn - n²) R/ (m² + mn + n²)(m² - mn - n²)
66 c4 - 4d4
c² 2d²
(c² + 2d²)( c² - 2d²) R/ (c² + 2d²)( c² - 2d²)
67 15x4 -15x³ + 20x²
5x²(3x² - 3x + 4) R/ 5x²(3x² - 3x + 4)
68 a² - x² - a - x
(a + x)(a - x - 1) R/ (a + x)(a - x - 1)
69 x4 - 8x² - 240
(x² - 20 )(x² + 12) 8 240 2
4 120 2
2 60 2
1 30 2
15 3
5 5
1 R/ (x² + 12)(x² - 20)
70 6m4 + 7m² - 20
(2m² + 12 )(3m² - 4) R/ (2m² + 12)(3m² - 4)
71 9n² + 4a² - 12an
9n² - 12 an + 4a²
3n 2a
(3n - 2a)² R/ (3n - 2a)²
72 2x² + 2
2(x² + 1) R/ 2(x² + 1)
73 7a (x + y -1) - 3b(x + y - 1)
(7a - 3b)(x + y - 1) R/ (x + y - 1)(7a - 3b)
74 x² + 3x - 18
(x + 6)(x - 3) R/ (x + 6)(x - 3)
75 (a + m)² - (b + n)²
(a + m)(a + m) + (-b - n)(b + n) R/ (a + m + b + n)(a + m - b - n)
76 x³ + 6x²y + 12xy² + 8y³
(x + 2y)(x + 2y)² R/ (x + 2y)³
77 8a² - 22a - 21
(4a + 3)(2ª - 7) R/ (4a + 3)(2a -7)
78 1 + 18ab + 81a²b²