A,   (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 + 0 + 0 - 2d

= -2d

Ý b, c em xem lại xem sao chỗ chữ cái viết hoa chỗ lại viết thường là sao em nhỉ?

Cô oi chữ nó bị thế thoi, A và a giống nhau cô ah

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) \(\left(a+b-c\right)-\left(b-c+d\right)\)

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

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

\(=a-d\)

b) \(-\left(a-b+c\right)+\left(a-b+d\right)\)

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

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

\(=2b-c-d\)

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

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

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

\(=2a+c\)

d) \(-\left(a-b-c\right)+\left(a-b-c\right)\)

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

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

\(=2b+2c\)

(chắc hơi sai... > . < ...)

1) \(=ac+ad+bc+bd-ab-ac-db-dc=ad+bc-dc-ab=d\left(a-c\right)-b\left(a-c\right)=\left(a-c\right)\left(d-b\right)\)

2) \(=ac-ad+bc-bd-ac-ad+bc+bd=2bc-2ad=2\left(bc-ad\right)\)

3) \(\left(a+b\right)\left(a+b\right)-\left(a-b\right)\left(a-b\right)=a^2+2ab+b^2-a^2+2ab-b^2=4ab\)

a)(a+b)-(a-b)+(a-c)-(a+c) 

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

=2b-2c

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

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

=2a

Giải:

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

    A=a+b-a+b+a-c-a-c

    A=0+(a-a)-c-c

    A=0+0-c-c

    A=-c-c

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

    B=a+b-c+a-b+c-b-c+a-a+b+c

    B=(a+a+a-a)+(b-b-b+b)+(-c+c-c+c)

    B=(a+a)+0+0

    B=a+a

Chúc bạn học tốt!

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

=ad-ac+a²-c+a-d

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

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

=-2b-2c-2d

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

=-ac+ab-a²+ad-ac-ab

=ad-2ac-a²

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)