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

Đề sai r bạn phải là xy(x+y)+yz(y+z)+zx(z+x)+2xyz chứ

\(xy\left(x+y\right)+yz\left(y+z\right)+zx\left(z+x\right)+3xyz\)

\(=xy\left(x+y\right)+xyz+yz\left(y+z\right)+xyz+zx\left(z+x\right)+xyz\)

\(=xy\left(x+y+z\right)+yz\left(x+y+z\right)+zx\left(x+y+z\right)\)

\(=\left(xy+yz+zx\right)\left(x+y+z\right)\)

xy(x+y)+yz(y+z)+xz(x+z)+2xyz 

= xy(x + y) + yz(y + z) + xyz + xz(x + z) + xyz 

= xy(x + y) + yz(y + z + x) + xz(x + z + y) 

= xy(x + y) + z(x + y + z)(y + x) 

= (x + y)(xy + zx + zy + z²) 

= (x + y)[x(y + z) + z(y + z)] 

= (x + y)(y + z)(z + x)

 xy(x+y)+yz(y+z)+xz(x+z)+2xyz 

= xy(x + y) + yz(y + z) + xyz + xz(x + z) + xyz 

= xy(x + y) + yz(y + z + x) + xz(x + z + y) 

= xy(x + y) + z(x + y + z)(y + x) 

= (x + y)(xy + zx + zy + z²) 

= (x + y)[x(y + z) + z(y + z)] 

= (x + y)(y + z)(z + x)

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 xy(x+y)+yz(y+z)+xz(x+z)+2xyz 

= xy(x + y) + yz(y + z) + xyz + xz(x + z) + xyz 

= xy(x + y) + yz(y + z + x) + xz(x + z + y) 

= xy(x + y) + z(x + y + z)(y + x) 

= (x + y)(xy + zx + zy + z²) 

= (x + y)[x(y + z) + z(y + z)] 

= (x + y)(y + z)(z + x)

\(xy\left(x-y\right)+yz\left(y-z\right)+xz\left(z-x\right)\)

\(=xy\left(x-y\right)+yz\left[\left(y-x\right)-\left(z-x\right)\right]+xz\left(z-x\right)\)

\(=xy\left(x-y\right)-yz\left(x-y\right)-yz\left(z-x\right)+xz\left(z-x\right)\)

\(=\left(x-y\right)\left(xy-yz\right)-\left(z-x\right)\left(yz-xz\right)\)

\(=\left(x-y\right)\left(xy-yz\right)+\left(z-x\right)\left(xz-yz\right)\)

\(=\left(xy-yz\right)\left(x-y+z-x\right)\)

\(=\left(xy-yz\right)\left(-y+z\right)\)

mơn bn nha ^^

nh sáng nay lên lp thầy chữa bài thì kq nó k như z, cả cách lm nx :v

kq là: ( z - y )( x - z)( y - x )

[ вơ đắйǥ ] вé เςë ⁀ᶜᵘᵗᵉ

Ukm cảm ơn nhé quên mất đoạn cuối vẫn phân tích đc nữa

xy(x-y)+yz(y-z)+xz(x-z)

=y.[x.(x-y)+z.(y-z)]+xz(x-z)

=y.(x²-xy+zy-z²)+xz.(x-z)

=y.[(x²-z²)+(-xy+zy)]+xz.(x-z)

=y.[(x-z)(x+z)-y.(x-z)]+xz.(x-z)

=y.(x-z)(x+z-y)+xz.(x-z)

=(x-z)[y.(x+z-y)+xz]

=(x-z)(xy+yz-y²+xz)

xy(x+y)+yz(y+z)+xz(x+z)+2xyz 
= xy(x + y) + yz(y + z) + xyz + xz(x + z) + xyz 
= xy(x + y) + yz(y + z + x) + xz(x + z + y) 
= xy(x + y) + z(x + y + z)(y + x) 
= (x + y)(xy + zx + zy + z²) 
= (x + y)[x(y + z) + z(y + z)] 
= (x + y)(y + z)(z + x)

xy(x+y)+yz(y+z)+xz(x+z)+2xyz 
= xy(x + y) + yz(y + z) + xyz + xz(x + z) + xyz 

= xy(x + y) + yz(y + z + x) + xz(x + z + y) 

= xy(x + y) + z(x + y + z)(y + x) 

= (x + y)(xy + zx + zy + z²) 

= (x + y)[x(y + z) + z(y + z)] 

= (x + y)(y + z)(z + x)

tao có \(xz\left(z-x\right)+yz\left(y+z\right)-xy\left(x+y\right)=xz\left(z-x\right)+yz\left(y+x+z-x\right)-xy\left(x+y\right)=xz\left(z-x\right)+yz\left(z-x\right)+yz\left(x+y\right)-xy\left(x+y\right)\)

\(\left(z-x\right)\left(xz+yz\right)+\left(x+y\right)\left(yz-xy\right)=\left(z-x\right)z\left(x+y\right)+\left(x+y\right)y\left(z-x\right)=\left(z-x\right)\left(x+y\right)\left(z+y\right)\)

nếu mình giải khó hiểu thì cho mình xin lỗi nhé

\(xz\left(z-x\right)+yz\left(y+z\right)-xy+\left(x+y\right)\)

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

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

\(=xz^2-x^2z+zy^2+z^2y-x^2y-xy^2\)

P/s: ko chắc

Wrecking Ball giải chưa đúng đâu nha 

Nhưng đây là bài lớp 8, bạn mới học lớp 7 nên mình k động viên thui nha ( mình ko có điểm hỏi đáp đâu )