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50. From a2 + 2ab + b2 take a? - 2ab +6%. 51. From a2 + 2ab +62 take a? - . 52. From 22 - 2xy + yo take 2 + 2xy +ya. 53. From 23 + 3xạy + 3xy? +y3 take 23+y3. 54. From a”- 3ab + 1labx-17 take a? -6abx + 71.

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62.

61. llax + 7by+12aby-llay Sacæ +7ax +79abæ – 12ax-8by12aby +llay Sacx+8ax+84abæ

63. 3aby + 7ab.7ax +81 9aby-8abx + 8ax - 94

64. 3acx+7-8y + 8 Sacx

+ 8y +18

65. llax +3by-7cx + 9 -9ax-3by+8cx+21

66.
47ax +37ay+lldy
372x-39ay-4dy

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75. From 87x - 37cy + 8ab subtract 673 +67cy +18ab.

76. From 672 +69cy +18ab subtract 87a-37cy +8ab.

77. From 64ax—37cy +a%b2 subtract Tax +a -84cy.

78. From a - 2ab + b2 subtract 6a2-7ab-862, and from the answer take 6a”- 7ab + 36.

79. From 3a2-6ax +7y take 64a2 + 7ax-8y, and from the answer take 1la? + 3ax-7y.

80. From Zax-7by + 3a2b2 + 7axy take 34ax-Saxy 7-4a2b2 + 7by, and from the answer take 1lby-6a2b9 +7axy-12ax +7. 81. (a?—62 +c? — 3c) – (8a2 + 60-20+862),

ANSWERS TO ADDITIONAL EXERCISES.

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34.

-20% -56+2c2-50%.
9.y-7by+2cx.
15cæ+bby-12c.
896c-7cy + 5ax.
ab + 4cx-8ab.
156-7c-7a.
- 4ac-8by +2c.o.
98ab-740 +85d.
-ab-llab:+4cy.

- 3ab-702-11.
155ab +6cy-30%.
12ab +7cy-12ab2.

- 7ax +4by+4cx.
15ab + 15cy-27.
23a-76+12c-35by +4cæ +165.
17a+x-6xy— 3xy? + 9by-abx+88.
20x2y 4bxy+12ax-95c2 +81c + 5cy.
4.2 --2ca2 + 5y.
13afb-3ab+ca.

-8c2-16lab +7.
135ab. — 95ab + 4ax— 14.
--2-2c +4d-e+f.
-llc-8x+15cx-9ax.
6lax-246x-CX- -11.
16cx—126bx + 8xy.
5.-15by +4c..
-9-3.0 + 4ax +32axy.
168a% +66%x.
9322—966ax-8ab. -ca.
a? +6+%-do+e-f%.
84a-c-946-4c2a +81.
15872-50c2-91..
70% +-80-9.
- 5672 +262 +91ax +12awy.

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35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60.

28ab + ac-ax.

-20xy + 22xz.
-70ab + 6xy-25+6e.
94abc-7cy - 84cx+84bæ.
14abc-15acx— 10.
26abx—15ubc+ 7ax -11.
178ab-15xy +87*.
118ax-158cx — 242.
-41+7ab tax- 9cx.
176abx + 63ax +92.
26axy +42ay-ac- ax.
- 1270-176-200ac-33.

38acx + 16abs-18aby +12acy-286. 28ab +9.2 - 13by.

-4ab.

C

4ab.
2ab +26%
-4.7.
30y + 3xy.
17aba-88-3ab.
-60% - 4xy +13ab +14ac.
7ac+16bc-19abc +35.
22-112y + 2aby +15.
25ay-49by+35cy +a.
7aby- 5acy~-llaxy-7.
20ac +18abx--6-19c.
23ax +15by +24aty-22ay.
- 52cx— AX --- 5abæ.
- aby +15abc-15ax +175.
-6acæ+72-16yo-10.
20ax +6by-15cx- 12.
10ax +76ay+15dy.
-4a2 +6ab262 +14ay.
28ay +4abx— 74axy.
3la+ 1lax— 25xy-13.
-62axy + 74.ry-27.

61.

62. 63. 64. 65. 66.

67.

68.

69.

70.

71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.

-20xạya +10y2 +85a%b2-66.
105a2-76*y+ 72xy.
151ax +1096y2 +988.cy.
-10ay +30by-50cy.
20x-104cy-10ab.
-20+106cy +10ab.
57ax +47cy.
-lla? +12ab +66%.
-72a-10ax + 22y.
-19ax-25by+5ab% +8axy-7.
- 7a -96% + 6c%.

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MISCELLANEOUS EXERCISES.

When x = 1, y= 3, %= 4, a = 5. Find the value of 1. 3-7y +82-6a

Ans. - . 2. 72-3y + 4z + 3a 7ay-bax

Ans.
3. 3ax - 72x + 6ay
4a0-7ay

Ans. 공금
3a-w2 — 4a ́ya-6z2
8a + 177

Ans.

3115

5.

37a+64-6: +8a

7ay +4ax +6

Ang. 3391

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