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1. 6x - 12 =
2. 4x - 8y =
3. 24a - 12ab =
4. 10x - 15x^2 =
5. 14m^2 n + 7mn =
6. 8a^3 - 6a^2 =
7. b^4 - b^3 =
8. 14a - 21b + 35 =
9. 4m - 20 am =
10. ax + bx + cx =
11. 4a^3 bx - 4bx =
12. 20x - 12xy + 4xz =
13. m^3 n^2 p^4 + m^4 n^3 p^5 - m^6 n^4 p^4 + m^2 n^4 p^3 =
14. 3ab + 6ac - 9ad =
15. 6x^4 - 30x^3 + 2x^2 =
16. 12m^2 n + 24m^3 n^2 - 36m^4 n^3
17. 10p^2 q^3 + 14p^3 q^2 - 18p^4 q^3 - 16p^5 q^4 =
18. ^
2 3 3 4 2 5 4 2 16
1 8
1 4
1 2
(^1) ab ab ab ab
354 a^^2 b ^^125 ab 158 a^2 b^3 2516 a^3 b
43 x^2 y ^98 xy^2
21. 10x^2 y - 15xy^2 + 25xy =
22. 2x^2 + 6x + 8x^3 - 12x^4 =
23. a^2 ^ ab
24. b ^^ b^3
25. m^5 ^^3 m^4
26.^4 n^2 ^^8 n^3
27. a (x + 1) + b ( x + 1 ) =
28. x^2 ( p + q ) + y^2 ( p + q ) =
29. ( 1 - x ) + 5c ( 1 - x ) =
30. (x + y )(n + 1 ) - 3 (n + 1 ) =
31. a ( a + b ) - b ( a + b ) =
32. m (2a + b ) + p ( 2a + b ) =
33. ( a^2 + 1 ) - b (a^2 + 1 ) =
34. a (2 + x ) - ( 2 + x ) =
35. (a + 1 )(a - 1 ) - 2 ( a - 1 ) =
36. (2x + 3 )( 3 - r ) - (2x - 5 )( 3 - r ) =
37. a (x+1) + b (x+1) =
38. x (a+1) - 3 (a+1) =
39. 2 (x-1) + y (x-1) =
40. m (a-b) + (a-b) =
41. 2x (n-1) + 3y (n-1) =
42. a (n+2) + n+2 =
43. x (a+1) – a - 1 =
75. 169m^2 - 196 n^2 =
76. ^
(^2) b 2 36 a^49 25
9
77. 3x^2 - 12 =
78. 8y^2 - 18 =
79. 45m^3 n - 20mn =
80. 16x^2 - 100 =
81. 9p^2 - 40q^2 =
82. 49x^2 - 64t^2 =
83. 121 x^2 - 144 k^2 =
84. ^
(^4) y 4 16 x^9 25
1
85. 5 - 180f^2 =
86. 3x^2 - 75y^2 =
87. 2a^5 - 162 a^3 =
x^2 y^2
89.^ b^2 ^^1
90. c^2 ^4
91.^4 b^2 ^1
92.^ d^2 ^^25
93. ^
1 b^2
94.^4^ n^2 ^^16
95.^25 ^^36 b^6
96.^ a^4 ^^169
97.^1 ^^49 m^2 n^4
98. ^
4 x^2 81 y^4
99.^ a^6 ^^144
100. a^2 b^8 ^^169
101. ^
100 c^2 y^10
102. a^10 ^^49 n^12
103.^25 x^2 z^10 ^^121
104. ^
100 k 4 l^2169 y^2
105. ^^144
a^2 m^4 n^8
106. ^
196 x^4 y^6225 z^12
107. ^
256 d 12 289 b^4 m^8
108.^1 ^^9 a^2 b^4 c^6 d^10
109.^361^ x^16 ^^1
(^1) a
2 a
m^8 x^6
a^2 x^8
115. c^4 - c^3 =
116. 15m^2 n + 30mn =
117. ^
55 m^2 n^3 x 110 m^2 n^3 x^2220 m^2 y^3
118. m^ x y ^ m x y m x
119. x ^ x^2 x^3 x^4
- ^ m ^^2 ^ ^ m ^4 ^ m^ ^2 m^ ^4 ^
- a ^ b ^^2 ^^ m b^ ^2 ^
- r c^ ^^2 ^ c ^2^
- ab ^ v ^^6 ^^ x ^ v ^6 ^
- ^ p ^ q r ^ s ^5 ^^ q^ r p ^ s ^5 ^
125. ^^1
x^2
126.^16^ m^6 ^^36
127.^169 ^ m^12
^12
8 16
m n
n^6
- ^^1 ^36 m ^2
131. ^ ^ ^ ^ ^
m n^4 m n^6
132.^ a^2 ^^169
133. 64 – x^3 =
134. 27m^3 + 6n^6 =
135.^27
8 8
(^1) x (^3)
136. 8a^3 b^3 + 27 =
137. x^6 – y^6 =
138.^64
x^3 ^1
139. ^^1
a^3
140. ^^1
y^3
141. ^^1
x^3
- ^ ^ ^ x^6 x 23
- ^ ^ ^ ^ ^ a 1 3 a 33
- ^ ^ ^ ^ ^ c 1 3 c 13
- ^ ^ ^ ^ ^ z 2 3 m 33
- ^ ^ ^ 2 t u^3 3 t u^3
- ^ ^ ^ ^ ^ 8 t u^3 y u^3 184.^64 ^^ ^ ^125^ m n^3
- ^ ^ ^ ^ ^ x y^3 x 23
- ^ ^ ^ 8 x y^3
187. ^ ^1
a b^3
188. ^ ^ ^ ^ ^
a b^3 a b^3
189. t^9 ^ u^3
190. r^12 ^ u^6
191.^ a^3 ^^8
192. 3b – 6x =
193. 15x + 20y – 30=
194. 14c – 21d – 30=
- a ^ x ^^1 ^^ ^ a ^3 ^ x ^1 ^
196. 4g^2 + 2gh =
197. ^^1
c^2
198.^36 x^4 z^10 ^^121
^12
6 121
c d
- ^ ^ ^ ^ ^ m n^4 m n^6
- ^ ^ ^ ^ ^ z 1 3 z 13
202. ^ ^ ^
1 2 g h^3
203.^1000 ^^1
p^3
204. ^
27 j^3 64 n^9
205.^512 ^^27 c^3
206. ^
x^2 y^2
207.^4 ax ^^7 a^2 x^5
208. ^
x^3 y^3
209. 4g^2 + 2gh =
210. 25a – 30ab + 15ab^2 =
211. 25x^6 – 4y^4 =
212.^36^ b^2 ^^1
213.^49 x^6 z^8 ^^169
6 12 16 25 r
j m
215. ^ ^ ^ ^ ^
a c^2 k t^4
216. 144 – 9x^2 =
- ^ ^ ^ ^ ^ a 51 3 a 323
- ^ ^ ^ 1 f g^3
219.^64 ^^1
p^3
220. ^
343 j^3 216 n^9
221.^729 ^^512 c^3
222.^25 x^ y ^^50 x y ^150 xy
5 2 3 3
223. x^2 ^^36 m^4
- ^ ^^2 ^ ^64^ x^2
- ^ ^^1 ^ ^1728^ x^3
226. 30m^2 n^2 + 75mn^2 – 105mn^3 =
227. 5x – 5 =
228. 20u^2 – 55u
229. 30m^2 n^2 + 75mn^2 – 105mn^3 =
230.^64^ b^2 ^^49
231.^121 a^4 b^8 ^^169
4 6 121 169 r
n f
- ^ ^ ^ ^ ^ 2 a c^2 3 z 14
234. 169 – 81x^2 =
- ^ ^ ^ ^ ^ z 5 3 p 63
- ^ ^ ^ 27 t u^3
237. ^^64
p^3
238.^343 a^3 ^^216 n^9
239.^125 ^^512 a^3
240. x^ y ^ x y x y
241. ^
q^2 81 m^4
- ^ ^^3 ^ ^196^ w^2
- ^ ^ ^27^ q w^3
244. 16x – 12 =
245. 6x – 12y + 18=
246. 28pq^3 x + 20p^2 qx^2 – 44p^3 qx + 4pqx=
283.^28 ^ q^ ^11 q
2
284. k^2 ^6 k ^40
285. ^5 ^36
b^2 b
286. a^2 ^2 a ^35
287. a^2 ^14 a ^13
288. m^2 ^14 m ^33
289. ^13 ^30
y^2 y
290. t^2 ^13 t ^14
291. ^15 ^56
p^2 p
292. ^15 ^54
w^2 w
293. z^2 ^7 z ^60
294. a^2 ^17 a ^60
295. ^20 ^300
y^2 y
296. x^2 ^ x ^132
297. m^2 ^2 m ^168
298. ^41 ^400
f^2 f
299. ^ ^364
n^2 n
300.^432 ^ a^^2 ^42 a
301. h^2 ^30 h ^675
302.^336 ^ q^ ^50 q
2
303. k^2 ^2 k ^528
304. b^2 ^43 b ^432
305. a^2 ^4 a ^320
306. ^8 ^1008
a^2 a
307. m^4 ^ m^2 ^4
308. ^6 ^7
y^6 y^3
309. ^2 ^80
y^8 y^4
310. ^ ^12
x^2 y^2 xy
- ^14 ^ ^2 ^4 ^15 w^2 w
- ^5 ^ ^13 ^5 ^42 z^2 z
313. x^2 ^2 ax ^15 a^2
314. a^2 ^4 ab ^21 b^2
315. x^10 ^ x^5 ^20
316. ^
m^2 mn 56 n^2
317. ^
f^4 7 cf^260 c^2
- ^2 ^ ^4 ^2 ^3 n^2 n
- ^ ^5 ^ ^24 m n^2 m n
320. h^8 ^ h^4 ^240
321.^15 ^ q^ ^2 q
2
322. ^2 ^99
a^4 b^4 a^2 b^2
323. c^2 ^11 cd ^28 d^2
324.^25 ^5 ^5 ^84
a^2 a
325. a^2 ^21 ab^ ^98 b^2
326. ^ ^132
x^4 y^4 x^2 y^2
327. ^ ^2 ^48
y^4 y^2
328. ^ ^ ^ ^18 ^ ^65
c d^2 c d
329. m^6 n^6 ^21 m^3 n^3 ^104
330.^14 ^5 n n^2
331. x^6 ^ x^3 ^930
332. ^4 ^ ^8 ^4 ^105
x^2 2 x^2
333. x^4 ^5 abx^2 ^36 a^2 b^2
334. ^
a^4 a^2 b^2156 b^4
335.^21 m^2 ^4 mx x^2
336. ^
x^8 y^815 ax^4 y^4100 a^2
337. ^ ^1 ^ ^3 ^ ^1 ^108
a^2 a
338. ^
m^2 abcm 56 a^2 b^2 c^2
339. ^7 ^ ^24 ^7 ^128
x^2 2 x^2
340.^2 ^3 ^2
a^2 a
341.^3 b^2 ^5 b ^2
342.^6 m^2 ^7 m ^2
343.^5 ^13 ^6
t^2 t
344.^6 u^^^2 ^6 ^5 u
345.^12 w^2 ^ w ^6
346.^4 z^2 ^15 z ^9
347.^3 ^11 a ^10 a^2
348.^12 ^13 ^35
m^2 m
349.^20 a^2 ^ a ^1
350.^8 ^14 ^15
a^2 a
351.^7 x^2 ^44 x ^35
352.^15 m^2 ^16 m ^15
353.^12 ^7 ^12
p^2 p
354.^9 a^2 ^10 a ^1
355.^20 ^9 ^20
f^2 f
356.^21 n^2 ^11 n ^2
394. x^2 ^5 x ^6
395.^2 x^2 ^3 x ^1
396.^4 ^13 ^3
x^2 x
397.^3 x^2 ^14 x ^8
398.^3 x^2 ^4 x ^1
399.^3 x^2 ^5 x ^2
400. ^
12 xy^2 24 x^3 y^3
- z a^ ^ b ^ a^ b ^
- r^ ^ t r t^
403.^4 a^2 ^ b^2
- ^ ^ ^ j k^2
x^24
407.^ a^3 ^49
- ^ ^1 ^ ^216 w^3
- ^ ^ ^ ^ ^ x 3 3 y 13
410. x^2 ^13 x ^30
411. ^12 ^35
x^2 x
412. x^2 ^4 x ^21
413. x^2 ^7 x ^44
414. x^2 ^ x ^2
415. x^2 ^6 x ^16
416.^4 ^8 ^3
x^2 x
417.^2 x^2 ^11 x ^6
418.^2 x^2 ^ x ^6
419.^3 x^2 ^16 x ^12
420.^2 x^2 ^3 x ^2
421.^4 ^ ^33
p^2 p
422.^30 b^213 b ^10
423.^6 ^5 ^6
m^4 m^2
424.^5 t^6 ^4 t^3 ^12
425.^10 u^8 ^29 u^4 ^10
426.^6 ^5 ^21
w^2 x^2 wx
427.^20 ^9 ^20
x^2 y^2 xy
428. ^
15 n^2 mn 2 m^2
429.^12 ^7 x ^10 x^2
430. ^
21 a 2 29 ab 72 y^2
431.^6 m^2 ^13 am ^15 a^2
432.^14 x^4 ^45 x ^14
433. ^
30 m^2 13 mn 3 n^2
434.^7 ^33 ^10
p^6 p^3
435.^30 ^13 a ^3 a^2
436.^5 ^7 x^4 ^6 x^8
437.^6 m^2 ^ mn ^2 n^2
438. ^
4 x^2 7 mnx 15 m^2 n^2
439.^18 r^2 ^17 rs ^15 s^2
440. ^
15 2 q^2 18 q^4
441. a^2 ^24 am^2 x^2 ^144 m^4 x^4
442.^16 ^104 x^2 ^169 x^4
443.^400 x^10 ^40 x^5 ^1
^2
2 4
a ab b
1 2 b^ b^2
4 2 2 b^4 a ab
1 x^4 x^2
448.^1 ^49 m^^2 ^14 m
6 3 2 y^4 x x y
^2
2 2 9 9
n mn m
- ^ ^ ^ ^ ^ a^2 2 aa b a b^2
- ^ ^ ^ ^ ^ 4 m^2 4 mn m n m^2
- ^ ^ ^ ^ ^ ^ ^ ^ a x^2 2 a x x y x y^2
- ^ ^ ^ ^ ^ ^ ^ ^ m n^2 2 a m m n a 22
- ^ ^ ^ ^ ^ ^ ^ ^ 4 1 a^2 41 a b 1 b 12
- ^ ^ ^ ^ ^ ^ ^ ^ 9 x y^2 12 x y x y 4 x y^2
457. ^
4 x^2 20 xy 25 y^2
458.^1 ^16 ax^2 ^64 a^2 x^4
459.^16 a^4 ^54 a^2 b^2 ^49 b^4
460. ^
36 x^4 109 x^2 y^249 y^4
461.^81 m^8 ^2 m^4 ^1
