Problem 7.3TI: Simplify: x2x2x23x+2 . Problem 7.4TI: Simplify: x23x10x2+x2 . Problem 7.5TI: Simplify: 2x212xy+18y23x227y2 . Problem 7.6TI: Simplify: 5x230xy+25y22x250y2 . Problem 7.7TI: Simplify: x24x525x2 . Problem 7.8TI: Simplify: x2+x21x2 . Problem 7.9TI: Simplify: 5xx2+5x+6x2410x . Problem 7.10TI: Simplify: 9x2x2+11x+30x2363x2 . Problem 7.11TI: Simplify: 2x2+5x12x216x28x+162x213x+15 . Problem 7.12TI: Simplify: 4b2+7b21b2b22b+14b2+15b4 . Problem 7.13TI: Simplify: x383x26x+12x246 . Problem 7.14TI: Simplify: 2z2z21z3z2+zz3+1 . Problem 7.15TI: Simplify: 3x2+7x+24x+243x214x5x2+x30 . Problem 7.16TI: Simplify: y2362y2+11y62y22y608y4 . Problem 7.17TI: Perform the indicated operations: 4m+43m15m23m10m24m3212m366m48 . Problem 7.18TI: Perform the indicated operations: 2n2+10nn1n2+10n+24n2+8n9n+48n2+12n . Problem 7.19TI: Find the domain of R(x)=2x210x4x216x20 . Problem 7.20TI: Find the domain of R(x)=4x216x8x216x64 . Problem 7.21TI: Find R(x)=f(x)g(x) where f(x)=3x21x29x+14 and g(x)=2x283x+6 . Problem 7.22TI: Find R(x)=f(x)g(x) where f(x)=x2x3x2+27x30 and g(x)=2x2100x210x . Problem 7.23TI: Find R(x)=f(x)g(x) where f(x)=2x2x28x and g(x)=8x2+24xx2+x6 . Problem 7.24TI: Find R(x)=f(x)g(x) where f(x)=15x23x2+33x and g(x)=5x5x2+9x22 . Problem 1E: In the following exercises, determine the values for which the rational expression is undefined. 1.... Problem 2E: In the following exercises, determine the values for which the rational expression is undefined. 2.... Problem 3E: In the following exercises, determine the values for which the rational expression is undefined. 3.... Problem 4E: In the following exercises, determine the values for which the rational expression is undefined. 4.... Problem 5E: In the following exercises, simplify each rational expression. 5. 4455 Problem 6E: In the following exercises, simplify each rational expression. 6. 5663 Problem 7E: In the following exercises, simplify each rational expression. 7. 8m3n12mn2 Problem 8E: In the following exercises, simplify each rational expression. 8. 36v3w227vw3 Problem 9E: In the following exercises, simplify each rational expression. 9. 8n963n36 Problem 10E: In the following exercises, simplify each rational expression. 10. 12p2405p100 Problem 11E: In the following exercises, simplify each rational expression. 11. x2+4x5x22x+1 Problem 12E: In the following exercises, simplify each rational expression. 12. y2+3y4y26y+5 Problem 13E: In the following exercises, simplify each rational expression. 13. a24a2+6a16 Problem 14E: In the following exercises, simplify each rational expression. 14. y22y3y29 Problem 15E: In the following exercises, simplify each rational expression. 15. p3+3p2+4p+12p2+p6 Problem 16E: In the following exercises, simplify each rational expression. 16. x32x225x+50x225 Problem 17E: In the following exercises, simplify each rational expression. 17. 8b232b2b26b80 Problem 18E: In the following exercises, simplify each rational expression. 18. 5c210c10c2+30c+100 Problem 19E: In the following exercises, simplify each rational expression. 19. 3m2+30mn+75n24m2100n2 Problem 20E: In the following exercises, simplify each rational expression. 20. 5r2+30rs35s2r249s2 Problem 21E: In the following exercises, simplify each rational expression. 21. a55a Problem 22E: In the following exercises, simplify each rational expression. 22. 5dd5 Problem 23E: In the following exercises, simplify each rational expression. 23. 205yy216 Problem 24E: In the following exercises, simplify each rational expression. 24. 4v3264v2 Problem 25E: In the following exercises, simplify each rational expression. 25. w3+216w236 Problem 26E: In the following exercises, simplify each rational expression. 26. v3+125v225 Problem 27E: In the following exercises, simplify each rational expression. 27. z29z+2016z2 Problem 28E: In the following exercises, simplify each rational expression. 28. a25a3681a2 Problem 29E: In the following exercises, multiply the rational expressions. 29. 1216410 Problem 30E: In the following exercises, multiply the rational expressions. 30. 3251624 Problem 31E: In the following exercises, multiply the rational expressions. 31. 5x2y412xy36x220y2 Problem 32E: In the following exercises, multiply the rational expressions. 32. 12a3bb22ab29b3 Problem 33E: In the following exercises, multiply the rational expressions. 33. 5p2p25p36p21610p Problem 34E: In the following exercises, multiply the rational expressions. 34. 3q2q2+q6q299q Problem 35E: In the following exercises, multiply the rational expressions. 35. 2y210yy2+10y+25y+56y Problem 36E: In the following exercises, multiply the rational expressions. 36. z2+3zz23z4z4z2 Problem 37E: In the following exercises, multiply the rational expressions. 37. 284b3b3b2+8b9b249 Problem 38E: In the following exercises, multiply the rational expressions. 38. 72m12m28m+32m2+10m+24m236 Problem 39E: In the following exercises, multiply the rational expressions. 39. c210c+25c225c2+10c+253c214c5 Problem 40E: In the following exercises, multiply the rational expressions. 40. 2d2+d3d216d28d+162d29d18 Problem 41E: In the following exercises, multiply the rational expressions. 41. 2m23m22m2+7m+33m214m+153m2+17m20 Problem 42E: In the following exercises, multiply the rational expressions. 42. 2n23n1425n2n210n+252n213n+21 Problem 43E: In the following exercises, divide the rational expressions. 43. v511vv225v11 Problem 44E: In the following exercises, divide the rational expressions. 44. 10+ww8100w28w Problem 45E: In the following exercises, divide the rational expressions. 45. 3s2s216s34s2+16ss364 Problem 46E: In the following exercises, divide the rational expressions. 46. r2915r3275r2+15r+45 Problem 47E: In the following exercises, divide the rational expressions. 47. p3+q33p2+3pq+3q2p2q212 Problem 48E: In the following exercises, divide the rational expressions. 48. v38w32v2+4vw+8w2v24w24 Problem 49E: In the following exercises, divide the rational expressions. 49. x2+3x104x(2x2+20x+50) Problem 50E: In the following exercises, divide the rational expressions. 50. 2y210yz48z22y1(4y232yz) Problem 51E: In the following exercises, divide the rational expressions. 51. 2a2a215a+20a2+7a+12a2+8a+16 Problem 52E: In the following exercises, divide the rational expressions. 52. 3b2+2b812b+183b2+2b82b27b15 Problem 53E: In the following exercises, divide the rational expressions. 53. 12c2122c23c+14c+46c213c+5 Problem 54E: In the following exercises, divide the rational expressions. 54. 4d2+7d235d+10d247d212d4 Problem 55E: For the following exercises, perform the indicated operations. 55.... Problem 56E: For the following exercises, perform the indicated operations. 56. 4n2+32n3n+23n2n2n2+n30108n224nn+6 Problem 57E: For the following exercises, perform the indicated operations. 57. 12p2+3pp+3p2+2p63p2p12p79p39p2 Problem 58E: For the following exercises, perform the indicated operations. 58.... Problem 59E: In the following exercises, find the domain of each function. 59. R(x)=x32x225x+50x225 Problem 60E: In the following exercises, find the domain of each function. 60. R(x)=x3+3x24x12x24 Problem 61E: In the following exercises, find the domain of each function. 61. R(x)=3x2+15x6x2+6x36 Problem 62E: In the following exercises, find the domain of each function. 62. R(x)=8x232x2x26x80 Problem 63E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 63. f(x)=6x212xx2+7x18... Problem 64E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 64. f(x)=x22xx2+6x16... Problem 65E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 65. f(x)=4xx23x10... Problem 66E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 66. f(x)=2x2+8xx29x+20... Problem 67E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 67. f(x)=27x23x21... Problem 68E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 68. f(x)=24x22x8... Problem 69E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 69. f(x)=16x24x+36... Problem 70E: For the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 70. f(x)= 24 x 2... Problem 71E: Explain how you find the values of x for which the rational expression x2x20x24 is undefined. Problem 72E: Explain all the steps you take to simplify the rational expression p2+4p219p2 . Problem 73E: (a) Multiply 7494 and explain all your steps. (b) Multiply nn39n+3 and explain all your steps. (c)... Problem 74E: (a) Divide 2456 and explain all your steps. (b) Divide x21x(x+1) and explain all your steps. (c)... format_list_bulleted