A = \(\frac{-5x}{21}\)+  \(\frac{-5y}{21}\)+ \(\frac{-5x}{21}\)

    = \(\frac{\left(-5x\right)+\left(-5y\right)+\left(-5x\right)}{21}\)

    vì x + y là số dõi của z 

=> x + y + z = 0 

=> \(\frac{5.\left(x+y+z\right)}{21}\)

= \(\frac{-5}{21}\).  0 = 0 

=> A = 0 

hok tốt !

Thay -z=x+y vào biểu thức A ta có A=-5x/21+(-5y/21)+[5(x+y)/21] =>-5x/21 +(-5y/21)+(5x+5y)/21=>-5x/21+(-5y/21)+5x/21+5y/21 => A = 0

Theo đầu bài ta có:
\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)
\(=\frac{-5x+-5y+-5z}{21}\)
\(=\frac{-5\left(x+y+z\right)}{21}\)
\(=\frac{-5\left(-z+z\right)}{21}\)
\(=\frac{-5\cdot0}{21}\)
\(=\frac{0}{21}=0\)

\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)

=>\(A=\frac{\left(-5x\right)+\left(-5y\right)+\left(-5z\right)}{21}\)

=>\(A=\frac{\left(-5\right)\left(x+y+z\right)}{21}\)

=>\(A=\frac{\left(-5\right)\left(-z+z\right)}{21}\)

=>\(A=\frac{\left(-5\right).0}{21}\)

=>\(A=\frac{0}{21}\)

=>A=0

\(\dfrac{-5x}{21}+\dfrac{-5y}{21}+\dfrac{-5z}{21}=\dfrac{-5x-5y-5z}{21}\)

= \(\dfrac{-5\left(x+y\right)-5z}{21}=\dfrac{-5\left(-z\right)-5z}{21}=\dfrac{5z-5z}{21}=\dfrac{0}{21}=0\)

\(A=\dfrac{-5x}{21}+\dfrac{-5y}{21}+\dfrac{-5z}{21}\)

\(=\dfrac{-5x-5y-5z}{21}\\ =\dfrac{-5\left(x+y\right)-5z}{21}\\ =\dfrac{-5\cdot\left(-z\right)-5z}{21}\\ =\dfrac{5z-5z}{21}\\ =\dfrac{0}{21}\\ =0\)

`Answer:`

\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)

\(=\frac{-5x-5y-5z}{21}\)

\(=\frac{-5\left(x+y\right)-5z}{21}\)

\(=\frac{-5\left(-z\right)-5z}{21}\)

\(=\frac{5z-5z}{21}\)

\(=\frac{0}{21}\)

\(=0\)

Cảm ơn bạn nha

\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)

\(=\frac{-5x-5y-5z}{21}\)

\(=\frac{-5\left(x+y+z\right)}{21}\)

Do  \(x+y=-z\) =>    \(x+y+z=0\)

Như vậy  \(A=0\)