Matematicas

EJERCICIO

Resolver simple inspección:

1. (4m5+5n6)2 = (4m5)2+2(4m5)(5n6)+(5n6)2 = 16m10+40m5n6+25n12
2. (7a2b3+5x4)2 = (7a2b3)2+2(7a2b3)(5x4)+(5x4)2 = 49ª4b6+70a2b3x4+25x8
3.(8x2y + 9m3)2 = (8x2y)2+2(8x2y)(9m3)+(9m3)2= 64x4y2+144m3x2y+81m6
4. [pic]= (x2)2+2(x2)(3y5)+(3y5)2= x4+6x2y5+9y10
5. [pic]= (2/5x2)2+2(2/5x2)(4/3y3)+(4/3y3)2= 4/25x4+16/15x2y3+16/9y6
6.[pic]= (6/7x9)2+2(6/7x9)(3w4)+(3w4)2= 36/49x18+36/7x9w4+9w4
7. [pic]= (8/7a4)2+2(8/7a4)(2/5b3)+(2/5b3)2= 64/49a8+32/35a4b3+4/25b6
8. [pic]= (9/11a9)2+2(9/11a9)(3/2c3)+(3/2c3)2=81/121a18+27/11a9c3+9/4c6
9. [pic]= (2/17x)2+2(2/17x)(15/2y)+(15/2y)2= 4/289x2+30/17xy+225/4y2
10. [pic]= (raiz2.2t4)2+2(raiz2.2t4)(raiz2.3t5)+(raiz2.3t5)2 =raiz2.4t8+raiz2.12t9+raiz2. 9t10

11. [pic]=(raiz2.8z5)2+2(raiz2.8z5)(3raiz7r3)+(3raiz7r3)2 = raiz2.64z10+6raiz56r3z5+9raiz49r6

12. (x5 – 3ay2)2 = (X5)2-2(X5)(3ay2)+(3ay2)2 = x5*2-6ax5y2+(3)2a2y2*2= x10-6ax5y2+9a2y4
13. (a7 – b7)2 =(a7)2-2(a7)(b7)+(b7)2 = a7*2-2a7b7+b7*2 = a14-2ª7b7+b14
14. (2m – 3n)2 = (2m)2-2(2m)(3n)+(3n)2 = 4m2-12mn+9n2
15. (x2 – 1)2 = (x2)2-2(x2)(1)+(1)2 = x4-2x2+1
16. (10x3 – 9xy5)2 =(10x3)2-2(x3)(9xy5)+(9xy5)2 = 100x6-18x4y5+81x2y10
17. (4n + 3)3 = (4n)3+3(4n)2(3)+3(4n)(3)2 + (3)3 = 64n3+144n2+108n+27
18. (1- 2n3)3 = (1)3-3(1)2(2n3)-3(1)(2n3)2+(2n3)3 = 1-6n3-12n3+8n619. (a2-2b)3= (a2)3-3(a2)2(2b)-3(a2)(2b)2+(2b)3 = a6-6a4b-12a2b4+8b3
20. (2x+3y)3= (2x)3+3(2x)2(3y)+3(2x)(3y)2+(3y)3 = 8x3+36x2y+54xy2+27y3
21. (1-a2)3= (1)3-3(1)2(a2)-3(1)(a2)2+(a2)3 =1-3a2-3a4+a6
22. (a3 - b2) (a3 + b2)= a6-b4
23. (y2 - 3y) (y2 + 3y)= y4-9y2
24. (1 - 8xy) (8xy + 1)= (8xy-1)( 8xy+1)= (8xy+1)(8xy-1) = 64x2y2-1
25. (6x2-m2x)(6x2+m2x)= 36x4-m4x2
26.(am+bn)(am-bn)= am2-bn2
27. (a - 11) (a + 10) = a2-110
28. (n - 19) (n + 10) = n2-190
29. (a2 + 5) (a2 – 9) = a4-45
30. (x2 - 1) (x2 - 7) = x4+7
31. (n2 – 1) (n2 + 20) = n4-20...