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A =(a+b-2c) -(-a+b+c) -(2a-b-c)
= a+b-2c+a-b-c-2a+b+c
= b-2c
B=-(2a-b+c) + (b-2c-3a) -(-5a-3c+b)
= -2a+b-c+b-2c-3a+5a+3c-b
= b-c
C=(3a-b-2c)-( 2b+3c-a) +(2a-3b)
= a-b-2c-2b-3c+a+2a-3b
= -6b-5c
D=(5a-3b+c) +( 2a-3b+5) -( b-c+a)
= 5a-3b+c+2a-3b+5-b+c-a
= 6a-7b+2c
\(A=\left(a+b-2c\right)-\left(-a+b+c\right)-\left(2a-b-c\right)\)
\(=a+b-2c+a-b-c-2a+b+c=b-2c\)
\(B=-\left(2a-b+c\right)+\left(b-2c-3a\right)-\left(-5a-3c+b\right)\)
\(=-2a+b-c+b-2c-3a+5a+3c-b=b\)
\(C=\left(3a-b-2c\right)-\left(2b+3c-a\right)+\left(2a-3b\right)\)
\(=3a-b-2c-2b-3c+a+2a-3b=6a-6b-5c\)
\(D=\left(5a-3b+c\right)+\left(2a-3b+5\right)-\left(b-c+a\right)\)
\(=5a-3b+c+2a-3b+5-b+c-a=6a-7b+2c\)
giải luôn nhé
A= -2x+4y-6z+3x+6y-6-3z
=x+10y-9z-6
B=4x-6y+8z-4x+12y-4z-5z+5x
=5x+6y-z
chúc bạn hk giỏi!!!
A = \(-2\left(x-2y+3z\right)-3\left(-x-2y+2\right)-3z\)
A = \(-2x+4y-6z+3x+6y-6-3z\)
A = \(\left(-2x+3x\right)+\left(4y+6y\right)-\left(6z-3z\right)-6\)
A = \(-x+10y-2z-6\)
B = \(2\left(2x-3y+4z\right)-4\left(x-3y+z\right)-5\left(z-x\right)\)
B = \(4x-6y+8z-4x+12y-4z-5z+5x\)
B = \(\left(4x-4x+5x\right)-\left(6y+12y\right)+\left(8z-4z-5z\right)\)
B = \(5x-18y-1z\)
Bài 1: Phá dấu ngoặc rồi tính:
a. \(\left(a+b+c\right)-\left(a-b+c\right)\)
\(=a+b+c-a+b-c\)
\(=\left(a-a\right)+\left(b+b\right)+\left(c-c\right)\)
\(=2b\)
b. \(\left(4x+5y\right)-\left(5x-4y-1\right)\)
\(=4x+5y-5x+4y+1\)
\(=\left(4x-5x\right)+\left(5y+4y\right)+1\)
\(=-x+9y+1\)
\(A=\left(-7+2x\right)-\left(5-2y\right)=-7+2x-5+2y\)
\(\Leftrightarrow A=2x+2y-12\)
Lại có: \(x+y=6\)
\(\Rightarrow2x+2y=12\)
\(\Rightarrow A=2x+2y-12=12-12=0\)
Ta có: A= (-7+2x )- ( 5-2y)
= -7+2x - 5+2y
= ( -7 -5 ) + ( 2x+2y)
= -12 + 2.(x+y) (1)
Do x+y = 6 nên thay vào (1) ta được:
-12 + 2.6
=-12 +12
= 0
Vậy A= 0
\(-\left[-a-\left(-b\right)-c\right]-\left(a+b\right)+c\)
\(=a+b+c-a-b+c\)
\(\left(2x+y\right)-\left(-2x+3y\right)+y\)
\(\left(2x+y\right)+2x-3y+y\)
\(\left(a+2b+c\right)-\left(-a-2a-2c\right)-\left(4b+2a+c\right)-a-c\)
\(=a+2b+c+a+2b+2c-4b-2a-c-a-c\)
b) Ta có :
\(VT=\left(4x-3y+2\right)-\left(3x-4y+2\right)\)
\(=4x-3y+2-3x+4y-2\)
\(=\left(4x-3x\right)-\left(3y-4y\right)+\left(2-2\right)\)
\(=x+y\)
\(VP=\left(2x+2y\right)-\left(x+y\right)=2x+2y-x-y\)
\(=\left(2x-x\right)+\left(2y-y\right)\)
\(=x+y\)
\(\Rightarrow VT=VP\)
\(\Rightarrow\)đpcm
\(A=-\left(x+y-z\right)+\left(x-2y+3z\right)-\left(x-3y+4z\right)\)
\(A=-x-y+z+x-2y+3z-x+3y-4z\)
\(A=\left(-x+x-x\right)+\left(-y-2y+3y\right)+\left(z+3z-4z\right)\)
\(A=-x+0+0=-x\)
a) (a – b + 2c) – (a + b – c) = 3c – 2b;
Ta có: (a – b + 2c) – (a + b – c) = a-b+2c-a-b+c=3c-2b
b) (x + 2y + 3z) + (– x – y) – (– 2y + 3z) = 3y
Ta có (x + 2y + 3z) + (– x – y) – (– 2y + 3z)
=x+2y+3z-x-y+2y-3z=3y