giúp mk bài 2 vs mk cảm ơn nhìu

Đáp án+Giải thích các bước giải:

 Bài `2:`

`a)`

`4x^{2}-6x=2x.2x-2x.3=2x.(2x-3)`

`b)`

`9x^{4}y^{3}+3x^{2}y^{4}`

`=3x^{2}y^{3}.3x^{2}+3x^{2}y^{3}.y`

`=3x^{2}y^{3}.(3x^{2}+y)`

`c)`

`-3x-6xy+9xz`

`=-(3x+6xy-9xz)`

`=-(3x.1+3x.2y-3x.3z)`

`=-3x.(1+2y-3z)`

`d)`

`2x^{2}y-4xy^{2}+6xy`

`=2xy.x-2xy.2y+2xy.3`

`=2xy.(x-2y+3)`

`e)`

`9x^{2}y^{3}-3x^{4}y^{2}-6x^{3}y^{2}+18xy^{4}`

`=3xy^{2}.3xy-3xy^{2}.x^{3}-3xy^{2}.2x^{2}+3xy^{2}.6y^{2}`

`=3xy^{2}.(3xy-x^{3}-2x^{2}+6y^{2})`

`f)`

`4x^{3}y^{2}-8x^{2}y^{3}`

`=4x^{2}y^{2}.x-4x^{2}y^{2}.2y`

`=4x^{2}y^{2}.(x-2y)`

`g)`

`8y.(2-x)-4.(x-2)`

`=8y.(2-x)+4.(2-x)`

`=(2-x).(8y+4)`

`=4.(2-x).(2y+1)`

`h)`

`3x^{2}.(x-y)-6xy+6x^{2}`

`=3x^{2}.(x-y)+(6x^{2}-6xy)`

`=3x^{2}.(x-y)+6x.(x-y)`

`=(x-y).(3x^{2}+6x)`

`=3x.(x-y).(x+2)`