ejercicios de factoreo

4
Ejercicios 3a 2 – 5a x 3 + x 2 y + 2xy 2 2x 5 – 4x 2 +5x 3 a 3 b – a 3 b 2 + a 2 b 3 2x 2 – 6abc + 9a 3 b 3 c 3 5a 3 x + 10a 3 x 2 – 20a 3 x 3 3a 2 b 2 c 2 -6abc + 9a 3 b 3 c 3 4x 3 y 3 - 8x 2 y 2 z 2 + 12xyz 2a 2 y + 4a 2 y 2 + 8a 2 6a 2 c – 12ac 2 – 3a 2 c 2 2x 2 -5xy + 4ax- 10ay x 2 + xy- ax – ay x 3 + 3x 2 + 4x + 12 a 4 – a 3 –a + 1 1 + 20x 4 – 4x 3 – 5x 1 + a – a 3 mn – a 2 mn ax + bx +ay+ by +az +bz a 2 – ab + ac –a + b – c ax – ay + az + x + y+ z x 2n + x n+3 – x n+1 –x 4 (n>3 ) a 2 + 6ab + 9b 2 4x 2 + 4x + 1 x 2 – 10x + 25 1 – 20y + 100y 2 121a 2 - 110a +25 x 6 + 14x 3 + 49 36x 2 -84xy + 49y 2 25a 2 b 2 -40abc + 16c 2 4x 4 +12x 2 y 2 + 9y 4 (x +y) 2 – 6a(x + y) + 9 a 2 a 2 – 9 x – x 5 25 – 100a 2 a 2 b 2 – 16c 2 x 2 – 25/4 y 2 x 4 – 4y 2 3a 5 -12a 3 b 4 x 8 – 256

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Page 1: Ejercicios de factoreo

Ejercicios

3a 2 – 5a

x3 + x2y + 2xy2

2x5 – 4x2 +5x3

a3 b – a3b2 + a2b3

2x2 – 6abc + 9a3b3 c3

5a3x + 10a3x2 – 20a3x3

3a2b2c2 -6abc + 9a3b3c3

4x3y3 - 8x2y2z2 + 12xyz

2a2y + 4a2y2 + 8a2

6a2c – 12ac2 – 3a2c2

2x2 -5xy + 4ax- 10ay

x2 + xy- ax – ay

x3 + 3x2 + 4x + 12

a4 – a3 –a + 1

1 + 20x4 – 4x3 – 5x

1 + a – a3mn – a2mn

ax + bx +ay+ by +az +bz

a2 – ab + ac –a + b – c

ax – ay + az + x + y+ z

x2n + xn+3 – xn+1 –x4 (n>3 )

a2 + 6ab + 9b2

4x2 + 4x + 1

x2 – 10x + 25

1 – 20y + 100y2

121a2- 110a +25

x6 + 14x3 + 49

36x2 -84xy + 49y2

25a2b2 -40abc + 16c2

4x4 +12x2y2 + 9y4

(x +y)2 – 6a(x + y) + 9 a2

a2 – 9

x – x5

25 – 100a2

a2b2 – 16c2

x2 – 25/4 y2

x4 – 4y2

3a5 -12a3b4

x8 – 256

Page 2: Ejercicios de factoreo

(x – 3y)2 – 16z2

(x + 2)2 -(2x - 3)2

x2 + 2xy + y2 -4z2

x2 – y2- z2 – 2yz

9x2 – 4a2 + 4a – 1

1 – a2 + 6ab – 9b2

2a + c2 -1 – a2

x2 + y2 – 2xy – 2a – a2-1

x2 – 2x + 1 – a2 + 2ay – y2

a4- a2- 9 + b4 – 2a2b2 + 6a

25x2 -1 – 10ax – 4y2z2 + a2 + 4yz

a4 – 2a2x –x4 – 2x2y2 –y4 + x2

b4 + b2 + 1

a4 – 3a2x2 + x4

a4 + a2b2 + 25b4

25a4 + 24a2b2 + 16b4

4a4 + b4

x8 + 64y8

x2 + 7x +10

x2 -7x +10

x2 – 3xy -4y2

a2 + 4ab -21b2

5x2 -8x +3

3x2 -2x-5

4a2 – 4a – 3

6a2 – 7ab -3b2

2x2 + 5xz +2z2

12a2 – 7ax – 10x2

a3 + 125

83 – 27b3

a3b3 + 64

216 +x6

64x3 -343y9

x3y6 + 1

(a + 3)3 +8

x3 – (y-z)3

(x + y)3 +(x –y)3

(a + 1)3 - (a-1)3

64x6 – y6

a2 – ab – b -1

a2 –b2 + a3 _ b3

Page 3: Ejercicios de factoreo

(x3 – y3)-( x - y)2 +(x2 – y2)

x2 –xy + y2 –x3 –y3

x3 + x2 – 3x -6

x3 +3x2 – 6x- 8

x3 – 4x2 – 6x – 8

x3 – 4x2 + 5

x3 + 5x2 – 6

x4 + 3x3 – 2x +4

x6 – x

a3- b3 +a –b

a3 – x3 – 3ax (a -x)

x2 + y2 +z2 + 2xy +2xz +2yz

a4 – b4 + 2ab (a2 –b2)

4a2 b2 – (a2 + b2 –c2 )2

a3 +b3 + 2a2 b + 2ab2

9m4 + 3m3b2 + 4b4

x2yn + 2xyn+1 +yn+2

c4n + c3n + c2n + cn

a4b2 –a2b4 +16b6

a2x -2ax2 – 2x2 –x

x6y9 + z12

(2x -y)3 -(x +2y)3

x2 + 2xy + y2 +2 +3 x + 3y

6x2 – 5xy -6y2 – 6xz +9yz

x4 – 5x3 + 5x2 – 3x -4

12 +7(a + b) – 10 (a + b)2

16x2n – (y + z)2

16x2n – (y - z)2

4u2 – 2xy – 12uv – x2 +9v2 – y2

8x4 +x

x4y4 +4

a2x – a2y + bx2 – by2

x2 + y2 +z2 – 2xy -2yz +2xz

x3- 2x2y + x2 – 4x -4 +8y

(m - n)2 – 2(m – n - 1)-1

2xy – ax – 2yz + az – ay + 2y2

x2 + x – y2 + y –z2 – z + 2yz

12a3 + 20a2 – a + 14

2a2 – 5 ab + 2b2 – 3ac + 6bc

a + b – c + a2 – b2 – c2 +2bc

x2 – 6xy + 9y2 – 8x + 24y +15

Page 4: Ejercicios de factoreo

a2 +8ab +16b2 – a -4b – 20

9a2 – 6ab +b2 -21x2 +12ax – 4bx

2ab – 2bc – ad + cd + 2b2 – bd

a4 -2 a2xy – x4 - x2y2 – y4

1 + 2ab – a4 – b4 – a2b2

4x2y2 + 4y4 – x8 – x4 – 1

x5 + x + 1