Rozłóż na czynniki (wyłącz czynnik przed nawias):
(x-y)(2x+1)-(3-2y)(x-y)
2x^2+x-2xy+y-(3x-3y-2yx+2y^2)=2x^2+x-2xy+y-3x+3y+2yx-2y^2=2x^2-2x+4y-2y^2=2(x^2-x+2y-y^2)
(x-y)(2x+1)-(3-2y)(x-y)=
2x²+x-2xy-y-3x-3y-2xy+2y²=
2x²+x-3x-2xy-2xy-y-3y+2y²=
2x²-2x-4xy-4y+2y²=
2x[x-1-2y]-2y[2-y]
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2x^2+x-2xy+y-(3x-3y-2yx+2y^2)=2x^2+x-2xy+y-3x+3y+2yx-2y^2=2x^2-2x+4y-2y^2=2(x^2-x+2y-y^2)
(x-y)(2x+1)-(3-2y)(x-y)=
2x²+x-2xy-y-3x-3y-2xy+2y²=
2x²+x-3x-2xy-2xy-y-3y+2y²=
2x²-2x-4xy-4y+2y²=
2x[x-1-2y]-2y[2-y]