Question

Rút gọn biểu thức :

\(\left(x-y+z\right)^2+\left(z-y\right)^2+2.\left(x-y+z\right).\left(y-z\right)\)

Ai nhanh được ba tích 

Answer 1

\(\left(x-y+z\right)^2+\left(z-y\right)^2+2\left(x-y+z\right)\left(y-z\right)\)

\(=\left(x-y+z\right)^2+\left(z-y\right)^2-2\left(x-y+z\right)\left(z-y\right)\)

\(=\left(x-y+z-z+y\right)^2\)

\(=x^2\)

Answer 2

\(=\left(x-y+z+z-y\right)^2=\left(x+2z-2y\right)^2\)

Answer 3

ý sai rồi dc sửa chứ

nếu dc thì vầy \(\left(x-y+z\right)^2+\left(z-y\right)^2-2\left(x-y+z\right)\left(z-y\right)=\left(x-y+z-z+y\right)^2=x^2\)

Answer 4

= ( x - y + z) x ( ( x - y + z) - 2 ( z - y) ) + ( z - y) ^ 2 = ( x - y + z ) x ( x + y - z ) + ( z - y ) ^2 = x ^ 2 - ( z - y) ^2 + ( z - y ) ^2 = x^ 2