Bỏ dấu ngoặc rồi thu gon :
A= ( a - b ) - ( a - b - c) - ( 2b +c - a )
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( a - b ) - ( a - b - c ) - ( 2b + c - a )
= a - b - a - b - c - 2b + c - a
= a - a - a - b - b - 2b - c + c
= a - 2b
\(-\left[-a-\left(-b\right)-c\right]-\left(a+b\right)+c\)
\(=a+b+c-a-b+c\)
\(\left(2x+y\right)-\left(-2x+3y\right)+y\)
\(\left(2x+y\right)+2x-3y+y\)
\(\left(a+2b+c\right)-\left(-a-2a-2c\right)-\left(4b+2a+c\right)-a-c\)
\(=a+2b+c+a+2b+2c-4b-2a-c-a-c\)
A= ( a - b) - ( a - b -c ) - ( 2a + c - a)
\(=a-b-a+b+a-2a-c+a\)
\(=\left(a-a+a+a-2a\right)+\left(-b+b\right)+c\)
\(=\left(2a-2a\right)+c\)
\(=c\)
Giải:
\(A=\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)\)
\(\Leftrightarrow A=a+b-a+b+a-c-a-c\)
\(\Leftrightarrow A=\left(a-a+a-a\right)+\left(b+b\right)+\left(-c-c\right)\)
\(\Leftrightarrow A=2b-2c\)
\(\Leftrightarrow A=2\left(b-c\right)\)
Vậy ...
a)
A = ( a+b) - (a-b) + (a-c) - (a+c)
A = a + b - a + b + a- c - a - c
A = ( a - a + a -a) + ( b + b) + ( -c - c )
= 2b -2c
a) `A=(a+b)-(a-b)+(a-c)-(a+c)`
`=a+b-a+b+a-c-a-c`
`=2b-2c`
b) `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`
\(A=\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)\)
\(A=a+b-a+b+a-c-a-c\)
\(A=2b-2c\)
\(B=\left(a+b-c\right)+\left(a-b+c\right)-\left(b+c-a\right)-\left(a-b-c\right)\)
\(B=a+b-c+a-b+c-b-c+a-a+b+c\)
\(B=2a\)
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!
A = (a - b ) - ( a - b - c) - ( 2b +c - a )
= a - b - a + b + c - 2b - c + a
= ( a - a + a) - (b - b + 2b) + ( c- c)
= a - 2b + 0
= a - 2b
A= (a - b) - (a - b - c) - (2b + c - a)
= a - b - a + b + c - 2b -c + a
= a - 2b