viernes, 18 de septiembre de 2015


EJERCICIOS DE PRODUCTO NOTABLE

1)       =x2 +2x+1
2)       (x+5)2 = x2+10x+25
3)       (x+11)2 = x2+22x+121
4)       (2x+3)2= 4x2+12x+9
5)       (3x+7)2= 9x2+42x+49
6)       (2x+9)2= 4x2+36x+81
7)       (5x+1)2= 25x2+10x+1
8)       (7x+2)2= 49x2+28x+4
9)       (3x+11)2=9x2+66x+121
10)    (4x+5)2= 16x2+40x+25
11)    (6x+1)2=36x2+12x+1
12)    (8x+9)2=64x2+144x+81
13)    (3x+2y)2=9x2+12xy+4y2
14)    (x+11y)2=x2+22xy+121y2
15)    (5x+3y)2= 25x2+30xy+9y2
16)    (m+5n)2=m2+10mn+252
17)    (5m+3n)2=25m2+30mn+9n2
18)    (18w+8)2=324w2+288w+64
19)    (a+3b)2=a2+6ab+9b2
20)    (5w+2)2=25w2+20w+42
21)    (10+b)2=20+20b+b2
22)    (7+3b)2= 49+42b+9b2
23)    (3+2y)2=9+12y+4y2
24)    (3m+y)2=9m2+6my+y2
25)    (5x+3w)2= 25x2+30xw+9w2
26)    (3m+2x)2= 9m2+12mx+4x2
27)    (7w+11)2= 49w2+154w+121
28)    (3m+3s)2=9m2+18ms+9s2
29)    (3x+13)2=9x2+78x+169
30)    (3x+2x)2=9x2+12x2+4x2
31)    (5y+3z)2= 9x2+12xy+4y2
32)    (5y+4z)2= 25y2+40yz+16z2
33)    (11+z)2= 121+22z+z2
34)    (2x3+5xy)2= 4x6+4x4+x2
35)    (2x2+5xy)2= 4x4+20x3 y+25x2y2
36)    (m3+3m)2=m6+6m4+9m2
37)    (5xy2+y)2= 25x2y4+10xy3+y2
38)    (6c+d)2= 36c2+12cd+d2
39)    (9+4m)2= 81+72m+16m2
40)    (7x+11)2=49x2+154x+121
41)    (x+y)2=x2+2xy+y2
42)    (1+3x2)2= 1+6x2+9x4
43)    (x+3xy)2= x2+6x2y+9x2y2
44)    (a2x+b2)2= a4x2+2 a2xb2+b4
45)    (3c3+8d4)2= 9c6+48c3d4+64d8
46)    (8x2y+9m3)2= 64x4y2+144x 2 ym3+81m6
47)    (x10+10y12)2= x20+20x10y12+100y24
48)    (am+an)2= am+2+2 am+n+an+2
49)    (ax+bx+1)2= ax+2+axbx+1+bx+2
50)    (xa+1+yx-2)2= xa+2+2xa+1yx-2+yx-4
51)    (x-1)2= x2-2x+2
52)    (x-2)2= x2-4x+4
53)    (x-5)2= x2-10x+25
54)    (x-6)2= x2-12x+36
55)    (x-8)2= x2-16x+64
56)    (x-10)2= x2-20x+100
57)    (x-11)2= x2-22x+121
58)    (x-13)2= x2-26x+169
59)    (y-3)2= y2-6y+9
60)    (y-4)2= y2-8y+16
61)    (y-7)2= y2-14y+49
62)    (y-9)2= y2-18y+81
63)    (y-12)2= y2-24y+144
64)    (2x-3)2= 4x2-12x+9
65)    (3x-5)2= 9x2-30x+25
66)    (3x-7)2= 9x2-42x+49
67)    (2x-11)2= 4x2-44x+121
68)    (3x-2)2= 9x2-12x+4
69)    (5x-9)2= 25x2-90x+81
70)    (7x-10)2= 49x2-140x+100

Ejercicios del 70-140
70.              (7x-10)2
(7x)2    - 2(7x)(10)+(10)2
R // 49X2 -140-100
71.     (8x-3)2
(8x)2+2(8x)(3)+(3)2
R// 642-48X+9
72.     (3x-y)2
(3X)2-2(3X)(Y)+(Y)2
R// 9X2-6XY+Y2
73.     (x-11y)2
(x)2-2(x)(11y)-(11y)2
R// x2-22xy+121y2
74.     (5x-2y)2
(5x)2-2(5x)(2y)+(2y)2
R// 25x2-20xy+4y4
75.     (7x-3y)2
(7x)2-2(7x)(3y)+(3y)2
R// 49x2-42xy+9y2
76.     (2x-13y)2
(2x)2-2(2x)(13y)+(13y)2
4x2-52xy+169y2
77.     (3m-n)2
(3m)2-2(3m)(n)+(n)2
R// 9m26mn+n2
78.     (3m-2n)2
(3m)2-2(3m)(2m)+(2m)2
9m2-12m2+4m4=
-7m2
79.     (3b-5c)2
(3b)2-2(3b)(5c)+(5c)2
9b2-30bc+25c2
80.     (5x2-3x)2
(5x2)-2(5x2)(3x)+(3x)2
25x2-30x2+9x2
81.     (5w-7y)2
(5w)2-2(5w)(7y)+(7y)2
25w2-70wy+49y2
82.     (3y2-2xy)2
(3y2)2-2(3y2)(2xy)+(2xy)2
9y4-12xy3+4x2 y2
83.     (5y-8z)2
(5y)2-2(5y)(8z)+(8z)2
25y2-80yz+64z2
84.     (6y-5y2)2
(6y)2-2(6y)(5y2)+(5y2)
36y2-60y3+25y2
85.     (3x3-5x)2
(3x3)2-2(3x2)(5x)+(5x)2
9x6-30x4+25x2
86.     (a-7b)2
(a)2-2(a)(7b)+(7b)2
a2+14ab+49b2
87.     (b-12)2
(b)2-2(b)(12)+(12)2
b2- 24b+144
88.     (5m-3mn)2
(5m)2-2(5m)(3mn)+(3mn)2
252-30m2n +9m2 n2
89.     (10-xy)2
(10)2+2(10)(xy)+(xy)2
1002- 20xy + xy2
90.     (11x-3x2)2
(11x)2+2(11x)(3x2)+(3x2)2
121x2+66x3+9x4
91.     (2x-8z)2
(2x)2+2(2x) (8z0)+(8z)2
4x2+32xz+64z2
92.     (5x2y-3y2)2
(5x2y)2+2(5x2)(3y2)+(3y2)2
25x4y+30x2y3+9y4
93.     (3w2-w)2
(3w2)2+2(3w2)(w)+(w)2
9w4-6w3+w2

94.     (xn-yn)2
(xn) 2+2(xn)(yn)+(yn)2
X2n+xnyn+y2n
95.     (mx+1-nx)2
(mx+1)2+2(mx+1)(nx)+(nx)2

96.     (3y4-7)2
(3y4)2+2(3y4)(7)+(7)2
9y5+42y4+49
97.     (x4-x3)2
(x4)2+2(x4)(x3)+(x3)2
X8+2x7+x6
98.     (x-xx-1)2
(x)2+2(x)(xx-1)+(xx-1)2
Xx-2+2xx-3+xx-2
99.     (2x-x2)2
(2x)2+2(2x)(x2)+(x2)2
4x2+4x3+x4
100.  (3x-2xny)2
(3x)2+2(3x)(2xny)+(2xny)2
9x2+12xny+4xny2
101.  (X+1)(X-1)
X2-1
102.  (X+2)(X-2)
X2-4
103.  (X+3)(X-3)
X2-9
104.  (X+4)(X+4)
X2-16
105.  (X+5)(X-5)
X2-10
106.  (Y+6)(Y-6)
Y2+36
107.  (X-7)(X+7)
X2-49
108.  (m-8)(m+8)
M2-61

109.  (a-9)(a+9)
A2-81
110.  (x+10)(10-x)
(x+10)(x+10)
10x-x2+100+10x
X2-100
111.  (y-11)(11+y)
(y-11)(y+11)
Y2+121
112.  (2x-3)(3+2x)
(2x-3)(2x+3)
4x2-9
113.  (3x-1)(3x+1)
9x2-1
114.  (2y-7)(2y+7)
4y2+49
115.  (3m+n)(3m-n)
(3m)*(3m)-(3m)(-n)+(n)(3m)-(n)(-n)
9m2-3mn+3mn-n2
9m2+n2
116.  (3w-y)(3w+y)
9w2-y
117.  (7+y)(7-y)
49-y2
118.  (3m-7n)(3m+7n)
9m2+49n2
119.  (11-a)(a+11)
(11-a)(11+a)
121-a2
120.  (3x-8)(8-3x)
(3x-8)(3x+8)
9x2-64
121.  (3w-7y)(3w+7y)
9w2-79y2
122.  (12-z)(12+z)
144-z2
123.  (13z-1)(13z+1)
169z2-1
124.  (5w-11z)(5w+11z)
25w2-121z2
125.  (13-c)(13+c)
169-c2
126.  (9y2-1)(9y2+1)
81y4-1
127.  (12x+x3)(12x-x3)
144x2-x9
128.  (y-z)(z+y)
(y-z)(y+z)
Y2-z2
129.  (w-n)(w-n)
W2+n2
130.  (x+14y)(x-14y)
X2-196y2
131.  (d-s)(d+s)
D2-s2
132.  (s3+2)(s3-2)
S9-4
133.  (x-3x2)(x+3x2)
X2-9x4
134.  (2w-5xy)(2w+5xy)
4w2-25x2 y2
135.  (3xy-5x)(3xy+5x)
9x2 y2 -25x2
136.  (3mn+8)(3mn-8)
9mn2-64
137.  (3ab – c)(3ba-c)
(3ab-c)(3ab-c)
9ab2+c2
138.  (xyz-6w)(yzx-6w)
Xyz2+36w2
139.  (3wm+7xy)(3wm-7xy)
9wm2-49xy2
140.  (x-20)(x+20)
X2-400

























141-210

141.        
142.         (2x+2/5) (2x-2/5)= 4/25
143.         (3x+1/7) (3x-1/7)=
144.         (5x-2/3) (5x-2/3)=
145.         (x-1/10) (x+1/10)=4
146.         (2/3x+1/3y) (2/3x+1/3y)=
147.         (y+2/9)(y-2/9)=
148.         (X+1/11)(X-1/11)=
149.         (5m-1/5)(5m+1/5)=
150.         (w-1/2)(w+1/2)=
151.         (x+y+z) (x+y-z)=
152.         (x-y+z) (x+y-z)=
153.         (x+y+z) (x-y-z)=
154.         (m+n+1)(m+n-1)=
155.          
156.         (x+y-2) (x-y+2)=
157.        
158.         (x-y+=
159.         (x+y-1=
160.         (x-2y=
161.        
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171.          728
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281. (x+3)(x+5)=              x2+8x+15

282. (2x-5)(3x+8) =          6x2+x2-40

283. (11x+3y)(3x-5y)=      33x2-46x2y-15y2

284. (6x-5)(8x-3) =           48x2-58x2+15

285. (3x-10)(x+8) =          3x2+4x2-80

286. (3x+2y)(11x-3y)=      33x2+13x2y-6y2

287. (3m+9n)(2m-n)=        6m2+15m2n-9n2

288. (x-z)(5x+2z) =           5x2-3x2z-2z2

289. (y+11)(2y+7) =          2y2+29y2+77

290. (m-8)(3m-11) =          3m2-35m2+88

291. (5r-2s)(10r+8s)=        50r2+20r2s-16s2
292. (x+9)(x+2) =              x2+11x+18

293. (y+4)(y+3) =              y2+7y+12

294. (m+n)(3m+8n) =         3m2+11m2n+8n2

295. (3k+j)(5k-8j)=            15k2-19jk+8j2

296. (11x-2y)(11x+y)=      121x2-11yx2-2y2

297. (x+3)(x-3) =              x2-9

298. (3z+5)(z-11)=              3z2-28z-55

299. (x+15)(x-10)=             x2+5x-150

300. (w+8)(8w-1)=              8w2+63w-8

301. (6x+1)(9x+1) =          54x2+15x+1

302. (x+11)(x+11) =          x2+22x+121

303. (m+1)(m+2)=             m2+3m+2

304. (7c+8d)(8c-7d) =        56c2+15cd=56d

305. (x+12)(2x-11)=          2x2+13x-132

306. (5m+7)(3m-1)=          15m2+16m-7

307. (xn- 2y)(2xn+3y)=       2x2n-1xny-6y2

308. (11x+z)(12x-z)=         132x2+xz-z2

309. (b-10)(3b+10)=          3b2-3b-100

310. (p+17)(2p-1)=            2p2+33p-17

311. (a+b)(c-d)=                ac-ad+bc-bd

312. (2x+1)(2x-y)=            4x2-2xy+2x-y


313. (3x+y)(5x+z)=            15x2+3xz+5xy+yz

314. (2x-11)(2x+11y)=       24x2+22xy-22x-121y

315. (y+1)(2y+m) =            2y2+ym+2y+m

316. (4k-1)(9k-5r)=            36k2-20rk-9k+5r

317. (3m+2n)(5x-3y)=        15mx-9my+10nx-6ny

318. (3m+2)(z-8)=              3mz-24m+2z-16

319. (k-m)(x+m)=               xk+mk-mx-m2

320. (s-1)(s+y) =               s2+sy-s-y

321. (7x+8)(2x-3y) =         14x2-21xy+16x-24y
322. (11-2x)(13+2y)=        143-4xy+22y-26x
323. (3x-2x)(y+1) =           3xy+3x-2xy-2x
324. (w+11)(8w-m)=          8w2-wm+88w-11m
325. (j-5)(3j+k)=                3j+jk-15j-5k
326. (x+13)(y-5) =             xy-5x+13y-65
327. (r-9)(s+9)=                 rs+r9-9s-81
328. (4r+5s)(8r-7) =           24r2-28+40sr-45s
329. (7p-2m)(8p+3) =         56p2+21p-16mp-6m
330. (6x-7)(8x-2y)=           48x2- 12xy-56x-14y
331. (6w+7)(3v-8)=            18wv-48w+21v-56
332. (3x+y)(2z-7)=             6xz-21x+2yz-7y
333. (9x-y)(6x-5) =            54x2-45x-6xy+5y
334. (3m+5n)(2m-11)=        6m2-33m+10mn-5s
335. (7m-8n)(7w-8n)=         49mw-56mn-56nw+64n2
336. (5y+3)(4y+z) =            20y2+5yz+12y+3z
337. (m+20)(n-1) =             mn-m+20n-20
338. (8m-3n)(5m-2n) =        40m2-31mn-6n2
339. (3x+9)(x-y)=               3x2-3xy+9x-9y
340. (3x-m)(y+2n) =            3xy+6xn-my-2mn
341. (2x-7)2(2x+7)2=            16x4-392x2+2401
342. (x+5)2(x-5)2 =                x4-50x2+625
343. (x8+1)(x4+1)(x2+1)(x+1)(x-1)=   (x16-1)
344. (m16+n16)(m8+n8)(m4+n4)(m2+n2)(m+n)(m-n)=   (m32+n32)
345. (x2-25)2 346. (y2-9)2 =   x4-50x2+625
347. (x-7) 2-(x+7)2 =            -98x2-98
348. (2x-5y)(4x2+10xy+25y2) - (2x-5y)3 = 60x2y-150xy2
349. (x-1)3+(x+1)3    =     2x3+6x
350. (x-3)(x+2) –(x+5)=  9x+19


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