a - a + b - c

b -a + -b +c - d

tu lam di de ma

Bài 4: Đơn giản các biểu thức sau khi bỏ dấu ngoặc

a/ (a + b - c) - (b - c + d)

= a + b - c - b +c - d

= a + (b - b) + (-c + c) - d

= a - d

b/ -(a-b+c)+(a-b+d)

= -a + b - c + a - b + d

= (-a + a) + (b - b) - c + d

= -c + d

c/ (a+b)-(-a+b-c)

= a + b + a - b + c

= 2a + c

d/ -(a+b) + (a+b+c)

= -a - b + a + b + c

= c

c,f  fk,l,xskooe

Bài 1:

\(a,\left(a+b-c\right)-\left(b-c-d\right)\)

\(=a+b-c-b+c+d\)

\(=a+d\)

\(b,-\left(a-b+c\right)+\left(a-b+d\right)\)

\(=-a+b-c+a-b+d\)

\(=-c+d\)

\(c,\left(a+b\right)-\left(-a+b-c\right)\)

\(=a+b+a-b+c\)

\(=2a+c\)

\(d,-\left(a+b\right)+\left(a+b+c\right)\)

\(=-a-b+a+b+c\)

\(=c\)

Bài 3 :

\(a,15-\left(4-x\right)=6\)

                    \(4-x=15-6\)

                    \(4-x=9\)

                            \(x=4-9\)

                            \(x=-5\)

\(b,-30+\left(25-x\right)=-1\)

                          \(25-x=-1+30\)

                          \(25-x=29\)

                                     \(x=25-29\)

                                     \(x=-4\)

\(c,x-5=-1\)

            \(x=-1+5\)

            \(x=4\)

\(d,x-4=-10\)

            \(x=-10+4\)

            \(x=-6\)

\(e,x+3=-8\)

            \(x=-8-3\)

            \(x=-11\)

\(g,x+6=0\)

            \(x=-6\)

Câu 1:

A, (a+b-c)-(b-c-d)

  = a+b-c-b+c+d

  = a+(b-b)+(c-c)

  = a

B, -(a-b+c)+(a-b+d)

  = -a+b-c+a+b+d

  = (a-a)+(b+b)+d-c

  = 2b+d-c

C, (a+b)-(-a+b-c)

  = a+b+a-b+c

  = (a+a)+(b-b)+c

  = 2a+c

D, -(a+b)+(a+b+c)

  = -a-b+a+b+c

  = (-a+a)+(b-b)+c

  = c

  = 

1. 

\(A=\left(x+y\right)-\left(z+t\right)\)

\(A=x+y-z-t\)

\(A=\left(x-z\right)+\left(y-t\right)\)

\(\Rightarrow A=B\)

\(3+\left(-2\right)+x=5\)

\(1+x=5\)

\(x=4\)

Gọi: A = a - b - c

       B = b + c - a

Vì tổng của 2 số đối nhau sẽ bằng 0 

\(\Rightarrow A+B=a-b-c+b+c-a\)

\(\Rightarrow(a-a)+(b-b)+(-c+c)\)

\(\Rightarrow A+B=0\)

Vậy A, B là 2 số đối nhau 

P/s: Hoq chắc ((:

Câu 1: C

Câu 2: D

Câu 3: A

Câu 4: B

ĐKXĐ: \(x\ge-1\)

Đặt \(\sqrt{x+1}=y\ge0\)

\(\Rightarrow4x^2+12xy=27y^2\)

\(\Leftrightarrow\left(2x-3y\right)\left(2x+9y\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}3y=2x\\9y=-2x\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}3\sqrt{x+1}=2x\left(x\ge0\right)\\9\sqrt{x+1}=-2x\left(x\le0\right)\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}9\left(x+1\right)=4x^2\left(x\ge0\right)\\81\left(x+1\right)=4x^2\left(x\le0\right)\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{81-9\sqrt{97}}{8}\end{matrix}\right.\)

a) -(a - c) - (a - b + c)

= a + c - a + b - c

= (a - a) + (c - c) + b

= 0 + 0 + b

= b

b) -a - (b - a - c) + b

= -a - b + a + c + b

= (-a + a) + (b + b) + c

= 0 + 2b + c

= 2b + c

c) -(a - b + c) - (a + b + c)

= a + b - c - a - b - c

= (a - a) + (b - b) + (c - c)

= 0 + 0 + 0

= 0

d) (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 + 2c

= 2b + 2c

e) (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 + 0 + 2c

= 2a + 2c