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`