Đáp án:

 `↓`

Giải thích các bước giải:

`1) x(x-1) +(1-x)^2`

`=x(x-1)+(x-1)^2`

`=(x-1)[x+(x-1)]`

`=(x-1)(x+x-1)`

`=(x-1)(2x-1)`

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`2) (x+1)^2 -3(x+1)`

`=(x+1)(x+1-3)`

`=(x+1)(x-2)`

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`3) 2x(x-2)-(x-2)^2`

`=(x-2)[2x-(x-2)]`

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

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

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`4) 3x(x-1)^2 -(1-x)^3`

`=3x(1-x)^2 -(1-x)^3`

`=(1-x)^2 .[3x-(1-x)]`

`=(1-x)^2 .(3x+x-1)`

`=(4x-1)(1-x)^2`

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`5) 3x(x+2) -5(x+2)^2`

`=(x+2)[3x-5(x+2)]`

`=(x+2)(3x-5x-10)`

`=(x+2)(-2x-10)`

`=-2(x+2)(x+5)`

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`6) 4x(x-y)+3(y-x)^2`

`=4x(x-y)+3(x-y)^2`

`=(x-y)[4x+3(x-y)]`

`=(x-y)(4x+3x-3y)`

`=(x-y)(7x-3y)`