Աշխատանք փակագծերով (դաս 15)

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  1. 5a-(2a+3b)=5a-2a-3b=3a-3b
  2. 7x-(4x-2y)=3x+2y
  3. 4y-(y-3)=4y-y+3=3y-3
  4. 9m+(6n-7m)=9m+6n-7m=2m+6n
  5. (3a2-5a)-(a2-4a)=3a2-5a-a2+4a=2a2-a
  6. 5b+(-3b-2c)+(b+4c)=5b-3b-2c+b+4c=3b+2c
  7. (3k-6n)+(-2k+6n)=3k-6n-2k+6n=k
  8. (4x+3)+(7-2x)=4x+3+7-2x=2x+10
  9. (10x3-4x2)-(2x2-5x3)=10x3-4x2-2x2+5x3=15x3-6x2
  10. 5a3b2-9b4-(3a3b2-4b4)=5a3b2-9b4-3a3b2+4b4=2a3b2-5b4
  11. 4x2y-(3xy2+5x2y)+12xy2=4x2y-3xy2-5x2y+12xy2=9xy2-x2y
  12. -7a5-(3b3-a5)-(5b3-11a5)=-7a5-3b3+a5-5b3+11a5=5a5-8b3
  13. (13x-9y+7z)-(10x+4y-3z)+x+5y-(2z-3y)-8z=13x-9y+7z-10x-4y+3z+x+5y-2z+3y-8z=4x-5y+4z
  14. 4m2-(3m2-4mn+2n2)-2mn+(-7m2+5mn)+3n2+15m2=4m2-3m2+4mn-2n2-2mn-7m2+5mn+3n2+15m2=3m2+7mn+n2
  15. 2xn-(3yn-xn-5)+2yn-(4xn-5yn+3)+(-6yn+7xn-2)=2xn-3yn+xn+5+2yn-4xn+5yn-3-6yn+7xn-2=6xn+10yn
  16. (8an-5an+1+4b3-2)-3an-(an+1+3b3-2an-6)+7-4an-an+1=8an-5an+1+4b3-2-3an-an+1-3b3+2an+6+7-4an-an+1=3an-7an+1+b3+11
  17. a+[b-(c-d)]=a+(b-c+d)=a+b-c+d
  18. a-[b+(c-d)]=a-(b+c-d)=a-b-c+d
  19. a-[(b-c)-d]=a-(b-c-d)=a-b+b+d
  20. a-[(b-c)+d]=a-(b-c+d)=a-b+c-d
  21. 3x-[5x-(2x-3)]=3x-(5x-2x+3)=3x-5x+2x-3=-3
  22. (4n-2)-[(n-4)-10]=4n-2-(n-4-10)=4n-2-n+14=3n+12
  23. 12a-[(5a-7)-(4+3a)]=12a-(5a-7-4-3a)=12a-5a+7+4+3a=10a+11
  24. 5b-[2c-(3b-8c)]+4c=5b-(2c-3b+8c)+4c=5b-2c+3b-8c+4c=8b-6c
  25. 5a2-3b2+[-(a2-2ab-b2)+(5a2-2ab+3b2)]-(3a2-4b2)=5a2-3b2+(-a2+2ab+b2+5a2-2ab+3b2)-3a2+4b2=5a2-3b2-a2+2ab+b2+5a2-2ab+3b2
  26. (-2xy+y2)+[x2-(3y2+2x2-4xy)+5y2]-(3xy-4x2)=-2xy+y2+(x2-3y2-2x2+4xy+5y2)-3xy+4x2=-2xy+y2+x2-3y2-2x2+4xy+5y2-3xy+4x 2=-xy+3y2+3x2
  27. [-5m2+2n2+(3m-4n2)-2m]+6n2-[3n2-7m2+(-n2+2m)]-(4m-6m2)=(-5m2+2n2+3m-4n2-2m)+6n2-(3n2-7m2-n2+2m)-4m+6m2=-5m2+2n2+3m-4n2-2m+6n2-3n2+7m2+n2-2m-4m+6m2=8m2+2n2-5m
  28. 3an+1-[2bn-(an-5bn+2an+1)+bn-4an+1]-(5an+1-3an-7bn)=3an+1-(2bn-an+5bn-2an+1+bn-4an+1)-5an+1+3an+7bn=3an+1-2bn+an-5bn+2an+1-bn+4an+1-5an+1+3an+7bn=4an+1-bn+4an
  29. a-{b-[c-(d-m)]-(d-c)}=a-{b-[c-d+m]-d+c}=a-{b-c+d-m-d+c}=a-(b-m)=a-b+m
  30. a-{b+[c-(d+m)]-(b-a)}=a-{b+[c-d-m]-b+a}=a-{b+c-d-m-b+a}=a-c+d+m-a=-c+d+m
  31. a+{b-[c+(d-m)]-c}=a+{b-[c+d-m]-c}=a+{b-c-d+m-c}=a+b-c-d+m-c=a+b-d+m-2c
  32. a+{b-[(d-c)+m]+d}=a+{b-[d-c+m]+d}=a+{b-d+c-m+d}=a+b+c-m
  33. 2m-{3m-[4m-(5m+6m)]-2m}=2m-{3m-[4m-11m]-2m}=2m-{3m+7m-2m}=2m-8m=-6m
  34. 8x-{5x+[7x-(10x-2x)]-3x}=8x-{5x+[7x-8x]-3x}=8x-{5x-x-3x}=7x
  35. 3a-{2c-[6a-(c-b)+3c+(a+8b-4c)]-4b}-[5a-(3c-7b)]=3a-{2c-[6a-c+b)+3c+a+8b-4c]-4b}-[5a-3c+7b]=3a-{2c-6a+c-b-3c-a-8b+4c-4b}-5a+3c-7b=3a-2c+6a-c+b+3c+a+8b-4c+4b-5a+3c-7b=5a-c+6b
  36. a+[-4c+(-2b+a)]-{5b+[3c-2a-(a+b)]+4a-(b+5c)}=a+[-4c-2b+a]-{5b+[3c-2a-a-b]+4a-b-5c)}=a-4c-2b+a-{5b+3c-2a-a-b+4a-b-5c}=a-4c-2b+a-5b-3c+2a+a+b-4a+b+5c=a-2c-5b
  37. [3z-(2x-y)]+2x-{4y-[x-(3z-4y)+2z+(x-3y-5z)]-(6y-4z)}=[3z-2x+y]+2x-{4y-[x-3z+4y)+2z+x-3y-5z]-6y+4z}=3z-2x+y+2x-{4y-x+3z-4y-2z-x+3y+5z-6y+4z}=3z-2x+y+2x-4y+x-3z+4y+2z+x-3y-5z+6y-4z=2x+4y-7z
  38. x-{2y+[3z-(x+z)-7x]-(2z-4x)}-[2x-(3y-5z)]+[-6x-(-y-4z)]=x-{2y+[3z-x-z-7x]-2z+4x}-[2x-3y+5z]+[-6x+y+4z]=x-{2y+3z-x-z-7x-2z+4x}-2x+3y-5z-6x+y+4z=x-2y-3z+x+z+7x+2z-4x-2x+3y-5z-6x+y+4z=x-2y-3z+x+z+7x+2z-4x-2x+3y-5z-6x+y+4z=-3x+2y-z
  39. (3m+5n)-{9m-[6m+2n-(12n-10m)]-m-(7m-4n)}=3m+5n-{9m-[6m+2n-12n+10m]-m-7m+4n}=3m+5n-{9m-6m-2n+12n-10m-m-7m+4n}=3m+5n-9m+6m+2n-12n+10m+m+7m-4n=18m-9n

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