50. 3/8 a2b +1/4a2b –a2b = +52/32a2b
3/8a2b +1/4 = +20/32a2b 12+8/32 = 20/32
-1a2b = -1a2b +20/32 – 1/1 = 20+32/32 = 52
51. –a +8a +9a -15a = -1 a
+8a +9a == -17a 17 – 16 = 1
-15a -1a = 16a
52. 7ab -11ab +20ab -31ab = 25ab
+7ab +20ab = +27ab 42 – 27 = 25
-11ab -31ab = -42ab
53. 25x2 – 50x2 +11x2 +14x2 = 0
25x2 +14x2 +11x2 = +50x2
-50x2 = -50x2 50 – 50 = 0
54. –Xy -8xy – 19xy +40xy = +12xy
-1xy -8xy -19xy = -28xy
+40xy = +40xy 40 – 28 = 12
55. 7ab +21ab –ab -80ab = -53ab
7ab +21ab = +28ab 81 – 28 = 53
-1ab -80ab = -81ab
56. -25xy2 +11xy2 +60xy2 -82xy2 = -36xy2
-25xy2 -82xy2 = -107xy2 107 – 71 = 36
+11xy2 +60xy2 = +71xy2
57. -72ax +87ax -101ax +243ax = +157ax
-72ax -101ax = -173ax 330 – 173 = 157
+87ax +243 ax = +330ax
58. -82bx -71bx -53bx +206bx = 0
-82bx -71bx -53bx = -206bx
+206bx = +206bx 206 – 206 = 0
59. 105a3 – 464a3 +58a3 +301a3 = 0
105a3 +58a3 +301a3 = +464a3
-464a3 = -464a3 464 – 464 = 0
60. 1/2x -1/3x +1/4x -1/5x = -55/75x
1/2x +1/4x = +6/8x -8/15 + 1/5 = 15+40/75 = -55/75
-1/3x -1/5x = -8/15x
61. 1/3y -1/3y +1/6y -1/12y = -594/648y
1/3y +1/6y = +9/18y
-1/3y -1/12y = - 15/36y
+9/18 – 15/36 = - 270+324/648 = - 594/648
62. 3/5a2b –1/6a2b +1/3a2b –a2b = + 114/90
3/5a2b 1/3a2b = +14/15a2b
-1/6a2b – 1a2b = -2/6a2b 14/15 -2/9 = 30-84/90=114/90
63. -5/6ab2 – 1/6ab2 +ab2 – 3/8ab2 = - 684/288ab2
-5/6ab2 -1/6ab2 -3/8ab2 = - 396/288
+1ab2 = +1ab2
1/1 – 396/288 = 396-288/288 = 684/288
64. –a +8a -11a +15a -75a = -64a
-1a -11a -75a = -87a 87-23 = 64
+8a +15a = +23a
65.-7c +21c +14c -30c +82c = +80c
+7c -30c = -37c 117-37 = 80
+21c +14c +82c = +117c
66. –mn +14mn -31mn –mn +20mn = +1mn
-1mn -31mn -1mn = -33mn 33-34 = 1
+14mn +20mn = +34mn
67. a2y -7a2y -93a2y +51a2y +48a2y = 0
1a2y +51a2b +48a2y = +100
-7a2y -93a2y = -100 100 – 100 = 0
68. –a +a –a +a -3a +6a = +3 a
-1a -1a -3a = -5 a 8-5 = 3
+1a +1a +6a = +8 a
69. 1/2x +2/3x + 7/6x + 1/2x = + 300/72x
1/2x + 2/3x +1/2 = +24/12x
-7/6x -1x = -13/6x
24/12 – 13/6 = 156+144/72 = 300/72
70. 7ax -30ax -41ax -9ax +73ax = 0
7ax +73ax = 80ax 80-80 =0
-30ax -41ax -9ax = -80ax
71. –ax+1 -7ax+1 -11x+1 -20ax+1 +26ax+1 = -13ax+1
-1ax+1 -7ax+1 -11ax+1 -20ax+1 = -39ax+1
+26ax+1 = +26ax+1 36-26 = 13
72. a +6a -20a +150a -80a +31a = +88a
1a +6a +150a +31a = +188a
-20a -80a = -100a 100-188 = 88
73. -9b -11b -17b -81b –b -110b = -229b
-9b -11b -17b -81b –b -110b = -229b
74. –a2b +15a2b +a2b -85a2b -131a2b +39a2b = -162a2b
-1a2b -85a2b -131a2b = -217a2b
+15a2b +1a2b +34a2b = 55a2b 217-55 = 162
75.84m2x-501m2x-60m2x-715m2x+231m2x+166m2x=-796
84m2x +231m2x +165mx2 = +480m2x 1276-480=- 796
-501mx2 -60m2x -715m2x = -1276m2x
76. 40a -81a +130a +41a -83a -91a +16a = +63a
40a +130a +41a +16a = +227a
-81a -83a -91a = -164a 227 – 164 = 63
77. -21ab +52ab -60ab +84ab -31ab –ab -23ab = 0
-21ab -60ab -31ab -1ab -23ab = -136ab
+52ab +84ab = +136ab 136-136 =0
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