Question

phân tích nhân tử 

xy-6y+2x-12

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

Answer 1

`xy-6y+2x-12`

`=y(x-6)+2(x-6)`

`=(y+2)(x-6)`

 

`2x(y-z)+(z-y)(x+y)`

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

`=(y-z)(2x-x-y)`

`=(y-z)(x-y)`

Answer 2

Answer 3

a) Ta có: \(xy-6y+2x-12\)

\(=y\left(x-6\right)+2\left(x-6\right)\)

\(=\left(x-6\right)\left(y+2\right)\)

b) Ta có: \(2x\left(y-z\right)+\left(z-y\right)\left(z+y\right)\)

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

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