đơn giản biểu thức (a- b) - (b + c) +( c - a )- (a - b -c)
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đơn giản biểu thức:
-(a-b+c)-(c-a)=-a+b-c-c+a=b-2c
b-(b+a-c)=b-b-a+c=-a+c=c-a
a-(-b+a-c)=a+b-a+c=b+c
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (a + b - c) - (b - c + d)
= a + b - c - b + c - d
= a + (b - b) - (c - c) - d
= a + 0 - 0 - d
= a - d
b) -(a + b + c) + (a - b + d)
= -a - b - c + a - b + d
= (-a + a) + (-b - b) - c + d
= -2b - c + d
câu c) tương tự nhé!! 34656654745756876876457567568687687698798363645765756
a) (a + b - c) - (b - c + d)
= a + b - c - b + c - d
= a - d
b) -(a - b + c) + (a - b + d)
= -a + b - c + a - b + d
= -c + d
= d - c
c) (a + b) - (-a + b - c)
= a + b + a - b + c
= 2a + c
![](https://rs.olm.vn/images/avt/0.png?1311)
a,\(-\left(a-c\right)-\left(a-b+c\right)\)
\(=-a+c-a+b-c\)
\(=b\)
b,\(b-\left(b+a-c\right)\)
\(=b-b-a+c\)
\(=-a+c\)
c,\(-\left(a-b+c\right)-\left(a+b+c\right)\)
\(=-a+b-c-a-b-c\)
\(=-2a-2c\)
\(=-2\left(a+c\right)\)
a ) - ( a - c ) - ( a - b + c )
= - a + c - a + b - c
= [ ( - a ) + a ] + ( c - c ) + b
= 0 + 0 + b
= b
b ) b - ( b + a - c )
= b - b - a + c
= ( b - b ) + [ ( - a ) + c ]
= 0 + ( - a ) + c
= ( - a ) + c
c ) - ( a - b + c ) - ( a + b + c )
= - a + b - c - a - b - c
= (- 2a ) + ( b - b ) + ( - 2c )
= ( - 2a ) + 0 + ( - 2c )
= ( - 2a ) + ( - 2c )
= - 2 ( a + c )
![](https://rs.olm.vn/images/avt/0.png?1311)
a) -a - (b - a - c)
= -a - b + a - c
= c - b
b) - (a - c) - (a -b +c)
= - a + c - a + b - c
= -2a + b
a, \(-a-\left(b-a-c\right)=-a-b+a+c=-b+c\)
b, \(-\left(a-c\right)-\left(a-b+c\right)=-a+c-a+b-c=-2a+b\)
![](https://rs.olm.vn/images/avt/0.png?1311)
( a + b + c)3 + (a - b - c)3 - 6a( b+ c)2
= ( a+ b + c + a - b - c)[ (a+b+c)2 + (a+b+c)(a-b-c) + (a-b-c)2 ] - 6a( b+c)2
= 2a [ a2 + b2 + c2 + 2ab+ 2bc+ 2ac + a2 - ( b+ c)2 + a2 + b2 + c2 - 2ab - 2ac + 2bc] - 6a ( b+c)2
= 2a [ 3a2 + 2b2 + 2c2 + 4bc - (b+c)2 - 3(b+c)2}
= 2a ( 3a2 + 2b2 + 2c2 - 4( b+ c)2 + 4bc}
Giải :
( a - b ) - ( b + c ) + ( c - a ) - ( a - b - c )
= a - b - b - c + c - a - a + b + c
= ( a -a ) - ( b + b - b ) - ( c - c - c)
= 0 - b - ( - c )
= b + c
Học tốt !!!!!!!!!!!