The way my professor explains it is confusing and not how I remember learning it in high school

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For example x^2y - xy^2, 3x-3y, x^2 -2xy+y^2

x^2y - xy^2 = xy(x-y)

3x-3y = 3(x-y)

x^2 -2xy+y^2 = (x-y)^2

LCM = 3xy(x-y)^2

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