## Transcribed Text

Exercises for Section 1.3
Simplify the following expressions.
1. 5x5 + 4x4 + x3 + x5 + 5x4 + 3x3
2. 2xy + 14xy + 3xy2 + 7xy
3. ex + ex + ex + 7
4. 7 + lnx + lnx + 5lnx
5. (a - b) + (a - b) + (a + b)
Add the following polynomials.
6. (2x + 3y + 2) + (7x + 7y + 7)
7. (3m2 + 2mn + 3n2 ) + (11m2 + 7n2 + 5mn)
8. (a + b) + (2a + 3a) + (4b + 2a) + b
9. (2e + 7) + (15e - 3)
10. (ax + bx + x) + (bx + x + 2ax)
Simplify the following expressions.
11. x -x x x
x
1 2e + e - 7e + 8e -
e
12.
12 3 1 2 xy - xy + xy - xy
2 7 8 21
13. (2x - 1) + (2x + 1) - (2x - 1)
14. (2x + 1)3 + (2x - 1)2 - (2x + 1)2
15. Ax2 + 2x + Bx2 - x + A - B
Simplify the following.
16. (x - y) + (y - z) + (z - w) + (w - v)
17. 13x - 7x - 6x - 6
18. ex - ex + ex - 7
19. (7 - tx) - (tx + 5tx)
20. (a - b) - (a - b) -2(a - b)
Simplify the following
21. (2xy - 7x2 + 2xy2 - 11y2) - (9x2 - 3xy2 + 14y2)
22. 2c2 + 3d3 - e - (-7c2 - e + 6d3)
23. (a + b) + (a + b) + (a + b) - (a + b)
24. (2xnym - 3xn-1ym + 2xn-1ym) - (2xnym - 2xn-1ym)
25. 22ab2 - 84a2b - (
3
4
ab2 - 8a2b + 33
1
3
a2b)
26. 16x2y - 32x2y - 82xy2 + 63x2y
27. (1 - log(x)) - (1 + log(x))
- 30 -
28. Bc2 + 5d2 - u - (-7c2 - u +
1
2
d2)
29. (2a + 1) + (6a + 1) + (6a - 1) - (a - 2)
30. (x - y) + (w + v) + (x + v) + (w - x) + (-v - x) - (x - y).
Simplify.
31. (7c + 2cd - 7d2) + (2c - 7cd + 2d2) + (6c - 6cd + 6d2)
32. (16x2 + 3xy - 7x) + (42x2 - 7xy + 10x) + (-18x2 + x - 41)
33. (6x2 - 3x1 + 2x0) + (-13x2 + 14x1 -37x0+
1
2
) + (32x2 + 32x1 -30x0 - 7
2
)
34. (4a2b + 62ab - 16b2) - (60ab - 4a2b - 7b2)
35. ((a + b)2 + 4) + (-17(a + b)2 - 8) + (11(a + b)2 - 7) + (
1
2
(a + b)2 +
1
2
)
36. (
1
2
y - 3xy) + (4xy -
3
4
y) + (5xy)
37. (14a + 19b + 4c - 2) + (12a - 21b - 12c + 7) + (-4a + 6b - 10c - 10)
38. (6xn + 2xnyn - 3yn) - (-17xn + 14xnyn - 4yn)
39. (8c3 - 22cp2 + 45p3) + (9c3 - 21c2p - 42p3 ) + (-6p3 - 19c2p - 20p3)
40. (1.7x - 3.2y + 7.5z + 8) + (-.1x - 3.7y + 1.1z - 18) + (-x + y + .8z + .8)
Simplify
41. 4x2 - 3x3 + 2x - x3 + 7 - 11x - 7x3 - 3 + x
42. 4c - 5d + 7e - 21d - 14e + 5c - 7c + 4d
43. ex - 7e2x - e + 7ex + 5e + 3ex - 9e2x + 17e - 3ex
44. yx - 7 + 2yx - x - 3yx + 2
45. -7xy2 + 2y - 3xy + 7y - 49xy2 - 7xy + 16y
46. 22v - 3w + 7u - (19v + w - 7v + 2u - 18w)
47. (a2 + b) - (a2 + b) + (a2 - b) - (-a2 - b)
48. (p - w) + (r + s) + (p + s) + (r - p) + (- s - p) + (-p - w)
49. (x + a - y + b) - (2x + a - 2y + c) + (2a - 3y + c)
50. (mx + b) + (-3mx - 2b) - (6mx + 6b)
51. (3a2 - a - 5) + (2a + 2a2 + 5) + (2a2 - a)
52. (16a7 + 32a6 + a5 - 16a6) - (51a7 - 15a5 + 91a7)
53. (5a4 - 5a3 + 5a2 - 5a) - (-11a4 + 11a3 - 11a2 + 5a)
54. (vx + w) + (-3vx - 2w) + (-6vx + 6w)
55. xy2 + x3y2 - 15x3y2 - 19x2y + 22xy2 - 24xy2 + 45x3y2
56.
9(a +h) -9a
h

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