\(A=-\left(x+y-z\right)+\left(x-z\right)+\left(y-9\right)\)

\(A=-x-y+z+x-z+y-9\)

\(A=-9\)

gúp mình với

A = x ( x + y ) - y ( x + y )

A = ( x + y ) ( x - y )

A = x\(^2\) - y\(^2\)

Tại x = \(\dfrac{-1}{2}\) và y = -2 ta có 

\(\left(\dfrac{-1}{2}\right)^2-\left(-2\right)^2\) \(=\) \(\dfrac{-15}{4}\)

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

\(=\left(x+y\right)\left(x-y\right)\)

\(=x^2-y^2\)

Thay \(x=-\dfrac{1}{2}\) và \(y=-2\) vào biểu thức \(A\), ta có:

\(A=\left(-\dfrac{1}{2}\right)^2-\left(-2\right)^2\)

\(=\dfrac{1}{4}-4\)

\(=-\dfrac{15}{4}\)

\(a.\left(-x+y\right)-\left(z+y-x\right)=-x+y-z-y+x=-z\)

\(b.\left(a-b\right)-\left(x-b+a\right)=a-b-x+b-a=-x\)

Các câu còn lại tương tự

a) (-x+y)-(z+y-x)=-x+y-z-y+x=(-x+x)+(y+-y)-z=-z

b) (a-b)-(x-b+a)=a-b-x+b-a=(a+-a)+(-b+b)-x=-x

c) -(x+y)+(x-y+m)-(m-y)=-x-y+x-y+m-m+y=(-x+x)+(-y+-y+y)+(m-m)=y

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

\(a,\left(x+y\right)^2-\left(x-y\right)^2=\left(x+y-x+y\right)\left(x+y+x-y\right)=4xy\\ b,\left(x+y\right)^2+\left(x-y\right)^2-2\left(x+y\right)\left(x-y\right)=\left(x+y-x+y\right)^2=4y^2\\ c,\left(x^2-1\right)\left(x^2-x+1\right)\\ =\left(x-1\right)\left(x+1\right)\left(x^2-x+1\right)\\ =\left(x-1\right)\left(x^3+1\right)\\ =x^4-x^3+x-1\)

a. (x + y)² - (x - y)²

= (x + y - x + y)(x + y + x - y)

= 2y . 2x

= 4xy

b. (x + y)² + (x - y)² - 2(x + y)(x - y)

= (x² + 2xy + y²) + (x² - 2xy + y²) - 2(x² - y²)

= x² + 2xy + y² + x² - 2xy + y² - 2x² + 2y²

= x² + x² - 2x² + 2xy - 2xy + y² + y² + 2y²

= 4y²

c. (x² - 1)(x² - x + 1)

= x⁴ - x³ + x² - x² + x - 1

= x⁴ - x³ + x - 1

a: \(\left(x+y\right)^2-\left(x-y\right)^2=4xy\)

b: \(\left(x+y\right)^2-2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^2=\left(x+y-x+y\right)^2=4y^2\)

c: \(\left(x^2-1\right)\cdot\left(x^2-x+1\right)\)

\(=\left(x^3+1\right)\left(x-1\right)\)

\(=x^4-x^3+x-1\)

\(\begin{array}{l}A - B = \left( {5{x^2}y + 5x - 3} \right) - \left( {xy - 4{x^2}y + 5x - 1} \right)\\ = 5{x^2}y + 5x - 3 - xy + 4{x^2}y - 5x + 1\\ = \left( {5{x^2}y + 4{x^2}y} \right) - xy + \left( {5x + 5x} \right) + \left( { - 3 + 1} \right)\\ = 9{x^2}y - xy + 10x - 2\end{array}\)

a, A =(a-2b+c)-(a-2b-c)

   A = a-2b+c-a+2b+c

   A = 0

b, B = (-x-y+3)-(-x+2-y)

   B = -x-y+3+x-2+y

   B = 1

c, C = 2.(3a+b-1)-3.(2a+b-2)

   C = 6a+2b-2-6a-3b+6

   C = -b + 4

d, D = 4.(x-1)-(3x+2)

    D = 4x-4-3x-2

    D = x-6

a: \(A=x^2-2xy+y^2+x^2+2xy+y^2-2x^2-x\)

=-x

=-2