factorise xx2y xxy2 3y 3xx, Factors, Mathematics (O-Level)

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Question:Factorise `xx^2`y - `xxy^2`+3y -3`xx`

Answer `xx^2`y - `xxy^2`+(3y -3`xx`) = xy(x-y) +3(y-x)

This has no obvious factor as the expression inside the brackets are different .
  but if we arrange the expression as 
   
`xx^2`y - `xxy^2`-3`xx`+3y) = `xx`y(x-y) -3(x-y),

An obvious factor is now apparent.
The factors are (x-y)(xy-3).

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Factorise `xx^2`y - `xxy^2`+3y -3`xx`

Question:Factorise `xx^2`y - `xxy^2`+3y -3`xx`

Answer `xx^2`y - `xxy^2`+(3y -3`xx`) = xy(x-y) +3(y-x) This has no obvious factor as the expression inside the brackets are different . but if we arrange the expression as `xx^2`y - `xxy^2`-3`xx`+3y) = `xx`y(x-y) -3(x-y), An obvious factor is now apparent. The factors are (x-y)(xy-3).