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\(A=\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)\)
\(\Leftrightarrow A=a+b-a+b+a-c-a-c\)
\(\Leftrightarrow A=\left(a-a+a-a\right)+\left(b+b\right)-\left(c+c\right)\)
\(\Leftrightarrow A=0+2b-2c\)
\(\Leftrightarrow A=2b-2c\)
\(\Leftrightarrow A=2\left(b-c\right)\)
Theo đầu bài ta có:
\(\left(a+b-c\right)+\left(a-b+c\right)-\left(b+c-a\right)-\left(a-b-c\right)\)
\(=a+b-c+a-b+c-b-c+a-a+b+c\)
\(=\left(a+a+a-a\right)+\left(b-b-b+b\right)+\left(c-c-c+c\right)\)
\(=2a\)
B1:
a, a+b+(-a)+b+a+(-c)+(-a)+(-c)=[a+(-a)+a+(-a)]+(b+b)+[(-c)+(-c)]=0+2.b+(-2).c
b, a+b+(-c)+a+(-b)+c+(-b)+(-c)+a+(-a)+b+c=[a+a+a+(-a)]+[b+(-b)+(-b)+b]+[(-c)+c+(-c)+c]=2.a+0+0=2a
B2:
N=(a+b)-(a-b)+(a+b)=a+b+(-a)+b+a+b=[a+(-a)+a)+(b+b+b)=a+3.b
NẾU CẬU KHÔNG HIỂU THÌ CỨ HỎI NHÉ!
rút gọn biểu thức
a,A=(a-b)-(a-b+c)
b,B=-(a+b+c)-(a+b-5)
a) A = ( 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 + 2b + 2(-c)[ - c - c = -c + ( -c )]
= 2b + 2(-c)
=2(b - c )(= 2 . [ b + ( - 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 = 2a + 0 + 0
B = 2a
a,A=a+b-a+b+a-c-a-c
=2b-2c-a
b,B=a+b-c+a-b+c-b-c+a-a+b+c
=2a+0b+0c
Bỏ dấu ngoặc rồi thu gọn biểu thức sau:
a) (a+b)-(a-b)+(a-c)-(a+c)
=a+b-a+b+a-c-a-c
=2b-2c
=2(b-c)
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
=3a+3b-3b
=3(a+b-c)
a)
(a+b)-(a-b)+(a-c)-(a+c)
=a+b-a+b+a-c-a-c
=(a-a+a-a)+(b+b)+(-c-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
=(a+a+a-a)+(b-b-b+b)+(-c+c-c+c)
=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) + (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
a) (a+b)-(a-b)+(a-c)-(a+c)=a+b+a+b+a-c+a-c=(a+a+a+a)+(b+b)+(-c-c)=4a+2b+2*-c
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=(a+a+a+a)+(b-b+b+b)+(-c+-c+c)
=4a+2b+ -c
a,(a+b)-(a-b)+(a-c)-(a+c)
=a+b-a+b+a-c-a-c
=2b+2(-c)
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) (a+b)-(a-b)+(a-c)-(a+c)
= a + b - a + b - a + c - a - c
= ( a - a ) + ( b + b ) + ( -a-a) + ( c - c )
= 0 + 2b + (-2a )+ 0
= 2b + (-2a)
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
= ( a - a ) + ( b - b ) + ( -c + c ) + ( a + a ) + ( - b + b ) + ( -c+c)
= 0 + 0 + 0 + 2a + 0 + 0
= 2a
Nhớ k cho mk nha
a,(a+b)-(a-b)+(a-c)-(a+c)
=a+b-a+b+a-c-a-c
=2b
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