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\(a,\left(a-b+c\right)-\left(a+c\right)=a-b+c-a-c=-b\)
\(b,\left(a+b\right)-\left(b-a\right)+c=a+b-b+a+c=2a+c\)
\(c,-\left(a+b-c\right)+\left(a-b-c\right)=-a-b+c+a-b-c=-2b\)
\(d,a\left(b+c\right)-a\left(b+d\right)=ab+ac-ab-ad=ac-ad=a\left(c-d\right)\)
\(e,a\left(b-c\right)+a\left(d+c\right)=ab-ac+ad+ac=ab+ad=a\left(b+d\right)\)
a) (a - b + c) - (a + c)
= a - b + c - a - c
= (a - a) - b + (c - c)
= -b
b) (a + b) - (b - a) + c
= a + b - b + a + c
= 2a + (b - b) + c
= 2a + c
c) - (a + b - c) + (a - b - c)
= -a - b + c + a - b - c
= (-a + a) - (b + b) + (c - c)
= -2b
d) a(b + c) - a(b + d)
= ab + ac - ab - ad
= (ab - ab) + (ac - ad)
= ac - ad
= a(c - d)
e) a(b - c) + a(d + c)
= a(b - c + d + c)
= a[b - (c - c) + d]
= d(b + d)
a) A=(a-b)+(a+b-c)-(a-b-c)=a+b
b) B=(a-b)-(b-c)+(c-a)-(a-b-c)=-a-b+3c
c) C=(-a+b+c)-(a-b+c)-(-a+b-c)=-a+b+c
A = ( a - b ) + ( a + b - c ) - ( a - b - c )
A = a - b + a + b - c - a + b + c
A = a + b
B = ( a - b ) - ( b - c ) + ( c - a ) - ( a - b - c )
B = a - b - b + c + c - a - a + b + c
B = -a - b + 3c
C = ( -a + b + c ) - ( a - b + c ) - ( -a + b - c )
C = -a + b + c - a + b - c + a - b + c
C = -a + b + c
a) -a -(b-a-c)
= -a -b+a+c
=(-a+a) +(c-b)
=c-b
b) -(a-c)-(a-b+c)
= -(a-c)-a+b-c
=-(a-c)-(a-c)+b
tự nghĩa nhe buồn ngủ rồi nhớ k đấy hứa rồi
a) -a - (b-a-c) = - a - b + a + c
= (a-a) + (c-b)
= c-b
b) -(a-c) - (a-b+c)
= - a + c - a + b - c
= -(a+a) + b + (c-c)
= - 2a + b
a)A=(a+b-c)+(a-b)-(a-b-c)
=a+b-c+a-b-a+b+c
=(a+a-a)+(b-b+b)-(c-c)
=a+b
b)B=(-a-b+c)+(a+b)
=-a-b+c+a+b
=(-a+a)-(b-b)+c
=0+0+c=c
c)C=-(a+b-c)+(-c)+(-a-b)-(a+b+c)
=-a+b-c-c-a-b-a+b+c
=-(a+a+a)+(b-b+b)-(c+c-c)
=-3a+b-c
d)D=-(-a-b)-(b+c)+(c-a+b)-(b-a-c)
=a+b-a+c+c-a+b-b+a+c
=(a-a+a)-(b-b+b)+(c+c+c)
=a-b+3c
\(a,A=\left(a+b-c\right)+\left(a-b\right)-\left(a-b-c\right)\)
\(=a+b-c+a-b-a+b+c\)
\(=a+b\)
\(b,B=\left(-a-b+c\right)+\left(a+b\right)\)
\(=-a-b+c+a+b\)
\(=c\)
\(c,C=-\left(a+b-c\right)+\left(-c\right)+\left(-a-b\right)-\left(a+b+c\right)\)
\(=-a-b+c-c-a-b-a-b-c\)
\(=-3a-3b-c\)
câu d cũng tương tự nha