a, -( -a + c - d) - ( c - d + d) =  a - c + d - c + d - d =  a + d

b, - ( a+b-c+d) + (a-b-c-d) = -a -b+c-d + a-b-c-d = -2b + (-2c)= -2(b+c)

a) -(-a + c - d) - (c - a + d) = a - c + d - c + a - d = (a + a) - (c + c) + (d - d) = 2a - 2c

b) -(a + b - c + d) + (a - b - c - d) = -a - b + c - d + a  - b - c - d = (-a + a) - (b + b) + (c - c) - (d + d) = -2b - 2d

c) (a + b - c) - (b - c + d) = a + b - c - b + c - d = a + (b - b) - (c - c) - d = a - d

d) (b + a) + (c - d) - (c + a) - (b - d) = b + a + c - d - c - a - b + d = (b - b) + (a - a) + (c - c) - (d - d) = 0

e) (a - b) - (d + a) - (c - d) + (c + b) = a - b - d - a - c + d +  c + b = (a - a) - (b - b) - (d - d) - (c - c) = 0

f) -a + (c - b) - (c + a - b) = - a + c - b - c - a + b = (-a - a) + (c - c) - (b - b) = -2a

a ) a - c + d - c + a - d = 2a - 2c 

b )  -a - b + c - d + a - b - c - d = -2b - 2d 

 CÁC CÂU CÒN LẠI LÀM TƯƠNG TỰ NHÉ!!

a)-(-a+c-d)-(c-a+d)=a-c+d-c+a-d=(a+a)-(c+c)+(d-d)=2a-2c=2(a-c)

b)-(a+b-c+d)+(a-b-c-d)=-a-b+c-d+a-b-c-d=(-a+a)-(b+b)+(c-c)-(d+d)=0-2b+0-2d=-2(b-d)

c)a(b-c-d)-a(b+c-d)=ab-ac-ad-ab-ac+ad=(ab-ac)-(ac+ac)-(ad-ad)=2ac

d)đề sai

e)(a+b)(c-d)-(a-b)(c+d)=ac+b-ad+b-(ac-b+ad-b)=ac+b-ad+b-ac+b-ad+b=(ac-ac)+(b+b+b+b)-(ad+ad)=4b-2ad=2(2b-ad)

f)(a+b)²-(a-b)²=a²+2ab+b²-(a²-2ab+b²)=a²+2ab+b²-a²+2ab-b²=(a²-a²)+(2ab+2ab)+(b²-b²)=4ab

mk k chắc đâu

-(a+b-c)+(b+c-d)-(c+d-a)

b) F=3.(b-c)-(a+c)+5.(a-b-c)

   F=3b-3c-a-c+5a-5b-5c

   F=(-a+5a)+(3b-5b)+(-3c-c-5c)

  F= 4a+(-2b)+(-9c)

  F=4a-2b-9c

a) E=2.(a+b)+3.(a-c)-4(b+c)

   E=2a+2b+3a-3c-4b-4c

   E=(2a+3a)+(2b-4b)+(-3c-4c)

   E=5a+(-2b)+(-7c)=5a-2b-7c

1. a-c+d-c+d-d=a-2c+d
2. -a-b+c-d+a -b-c-d=-2b-2d
3. ab-ac-ad-ab-ac+ad=-2ab-2ac
4. ac+ad+bc+bd-ab-ac-bd-cd=ad+bc+bd-ab-bd-cd

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a) - ( - a + c – d ) – ( c – a + d ) 

= a - c - d - c + a + d

= (a + a) + (-c - c) + (-d + d)

= 2a - 2c               

b) – ( a + b  - c + d ) + ( a – b – c –d )

= - a - b + c - d + a - b - c - d

= (-a + a) + (-b - b) + (c - c) + (-d - d)

= -2b - 2d

a) - ( - a + c - d) - ( c - a + d )

= a - c + d - c + a - d 

= 2a

b) - ( a+ b - c + d ) + ( a -b -c -d )

= - a-b+c-d+a-b-c-d

=-2d -2b

c) a(b-c-d) - a(b+c-d)

= a(b-c-d-b-c+d)

= ab-ac-ad-ab-ac+ad

= -2ab-2ac

d) (a+b)(c+d)-(a+d)(b+c)

= ac+ad+bc+bd - (ab+ac+bd+cd)

= ac+ad+bc+bd-ab-ac-bd-cd

=ad+bc-ab-cd

a) -a - (b - c - c)

 = 2c - a - b

b) - (a-b+c) - (a+b+c)

 = -2a - 2c

c) - a - (b+c)

 = -a - b - c

d) -a.(b-a-c)

 = a² - ab + ac

e) (a+b) - (a-b) + (a-c) - (a+c)

 = 2b - 2c

f) (a+b-c) + (a-b+c) - (b+c-a) - (a-b-c)

 = 2a

a. \(-a-\left(b-a-c\right)=-a-b+a+c=c-b\)

b. \(-\left(a-c\right)-\left(a-b+c\right)=-a-c-a+b-c=b-2a-2c\)

c. \(b-\left(b+a-c\right)=b-b-a+c=c-a\)

d.\(-\left(a-b+c\right)-\left(a+b+c\right)=-a+b-c-a-b-c=-2a-2c=-2\left(a+c\right)\)e. \(\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)=a+b-a+b+a-c-a-c=2b-2c=2\left(b-c\right)\)

f. \(\left(a+b-c\right)+\left(a-b+c\right)-\left(b+c-a\right)-\left(a-b-c\right)=a+b-c+a-b+c-b-c+a-a+b+c=2a\)

a) -a - (b - a - c)

= -a - b + a + c

=[ -a + a] - (b + c)

= 0 - (b + c)

= -(b + c)

d) -(a - b + c) - (a + b + c)

= -a + b - c - a - b - c

= (-a - a) + (b - b) + (c - c)

= (-a - a) + 0 + 0

= -a - a

e) (a + b) - (a - b) + (a - c) - (a + c)

= a + b - a + b + a - c - a - c

= (a - a) - (a + a) + (b + b) - (c - c)

= 0 + 2a + 2b - 0

= 2a + 2b

b) -(a - c) - (a - b + c)

= -a + c - a + b - c

= (-a - a) + (c - c) + b

= [(-a) + (-a)] + 0 + b

= 2(-a) + b

c) b - (b + a - c)

= b - b - a + c

= 0 - a - c

= -a - c

f) (a + b - c) + (a - b + c) - (b + c - a) - (a - b - c)

= 0 - (b + c - a) - (a - b - c)

= 0 - b - c + a - a + b - c

= -b - c + a - a + b - c

= (-b + b) - (c - c) + (a - a)

= 0 - 0 + 0

= 0