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TRABAJO COLABORATIVO FACTOR COMUN: 1. c 4 -c 3 = c 3 (c-1) 2. 15m 2 n + 30mn = 15mn(m+ 2) 3. 55m 2 (n 3 x + 2n 3 x 2 - 4 y 3 ) 4. 31m 2 x(3mxy-2x 2 y 2 -4) 5. x(1-x+ x 2 - x 3 ) 6. (m-2)((m-4)+(m+4))=(m-2)(m- 4+m+4)=(m-2)(2m) 7. (b-2)(a+m) 8. r(c-2)-(c-2)=(c-2)(r-1) 9. (v-6)(ab-x) 10. (s-5)((p+q-r)-(q-r-p))=(s-5) (p+q-r-q+r+p) =(s-5)(2p) DIFERENCIA DE CUADRADOS 11. (x-1)(x+1) 12. (4m 3 -6)(4m 3 +6) 13. (13-m 6 )(13+ m 6 ) 14. 15. 16. = ((m+1)-6)((m+1)+6)=(m-5)(m+7) 17. ((m-n) 2 -(m+n) 3 )((m-n) 2 +(m+n) 3 )

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EJERCICIOS

TRABAJO COLABORATIVOFACTOR COMUN:

1. c4-c3 = c3 (c-1)

2. 15m2n + 30mn = 15mn(m+ 2)

3. 55m2 (n3 x + 2n3x2 - 4 y3 )

4. 31m2x(3mxy-2x2y2 -4)

5. x(1-x+ x2- x3)

6. (m-2)((m-4)+(m+4))=(m-2)(m-4+m+4)=(m-2)(2m)

7. (b-2)(a+m)

8. r(c-2)-(c-2)=(c-2)(r-1)

9.(v-6)(ab-x)

10. (s-5)((p+q-r)-(q-r-p))=(s-5)(p+q-r-q+r+p) =(s-5)(2p)

DIFERENCIA DE CUADRADOS

11. (x-1)(x+1)

12. (4m3 -6)(4m3 +6)

13. (13-m6 )(13+ m6)

14.

15.

16. = ((m+1)-6)((m+1)+6)=(m-5)(m+7)

17. ((m-n) 2-(m+n) 3)((m-n) 2+(m+n) 3)

18. (a-13)(a+13)

1. 64 x3 = (4-x)(16+4x+ x2)

2. 27m3 + 8n6 = (3m+2n2)(9m2 -6mn2 +4n4)

3. =

4. 8a3b3 + 27 = (2ab+3)(4a2b2 -6ab+9)

5. x6 y6 =(x2-y2)(x4 +x2y2+y4)

6.=

7. (a-1)(a2+a+1)

8. (y+1)(y2-y+1)

9. (x-1)(x2+x+1)

10. (2m-1)(4m2 +2m+1)

11. (3x-4)(3x2 +12x+16)

12. (x+3)(x2-3x+9)

13. (a-3)( a2+3a+9)

14. (3m-n)(9m2 +3mn+n2)

15. (x2 +4)(x4 -4x2 +16)

16. (r-5)(r2 +5r+25)

17. (1-6m)(1+6m+36m2)

18. (2a2 +3b3)(4a4 -6a2b3+9b6)

19. ( v2 + b4)( v4-v2b4+b8)

20.(2n-3m)(4n2+6mn+9m2)

1. (x+5)(x+2)

2. (x-3)(x-2)

3. (x+5)(x-2)

4. NO SE PUEDE // si fuese

5. (a+3)(a+1)

6. (m+7)(m-2)

7. (y-5)(y-4)

8.t2 t-6=(t-3)(t+2)

9. (p-8)(p-1)

10. (w+8)(w-3)

11. (z-2)(z-1)

12. (a+6)(a+1)

13. (y-3)(y-1)

14. (x+7)(x+3)

15. (m-11)(m-1)

16. (f-10)(f+3)

17. (n+8)(n-2)

18. a2 -21a+20 = (a-20)(a-1)

19. (h+6)(h-5)

1. q2 -11q+28=(q-7)(q-4)

2. (k-10)(k+4)

3. (b-9)(b+4)

4. (a-7)(a+5)

5. (a+13)(a+1)

6. (m-11)(m-3)

7. (y+15)(y-2)

8.(t-14)(t+1)

9. (p+8)(p+7)

10. (w-9)(w-6)

11. (z+12)(z-5)

12. (a-20)(a+3)

13. (y-30)(y+10)

14. (x+12)(x-11)

15. (m-14)(m+12)

16. (f-25)(f-16)

17. NO TIENE// si fuese

18. a2 +42a+432=(a+24)(a+18)

19. (h-45)(h+15)

1. -(q2 -2q-15)= -(q-5)(q+3)

2. ( a2b2 -11)( a2b2 +9)

3. (c+7d)(c+4d)

4. 25a2-25a-84=(5a-28)(5a+3)

5. (a-14b)(a-7b)

6. ( x2y2 +12)( x2y2 -11)

7. -(y4-2y2 -48) = -(y2 -8)(y2 +6)

8.((c+d)-13)((c+d)-5)= (c+d-13)(c+d-5)

9. (m3n3 -13)(m3n3 -8)

10. -(n2 -5n-14)= -(n-7)(n+2)

11. ( x3 +31)( x3 -30)

12. 16x4 -32x2 -105=(4x2 -35)( 4x2 +3)

13. (x2 +9ab)(x2 -4ab)

14. ( a2 - 13b2 )( a2 + 12b2)

15. -( x2 -4mx-21m2 )= -(x-7m)(x+3m)

16. ( x4y4 -20a)( x4y4 +5a)

17. ((a-1)+12)((a-1)-9) = (a-1+12)(a-1-9) =(a+11)(a-10)

18. (m+8abc)(m-7abc)

19. 49 x4 +68 x2 +128=(7 x2 +16)(7 x2 +8)

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