Simplified form of x.x/x?
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x(x−5y)×x2+xy(x+y)(x−y)
x(x−5y)×x2+xy(x+y)(x−y)⇒x2−xy−5xy+5y2x(x−5y)×x(x+y)(x+y)(x−y)
x(x−5y)×x2+xy(x+y)(x−y)⇒x2−xy−5xy+5y2x(x−5y)×x(x+y)(x+y)(x−y)⇒x(x−y)−5y(x−y)x(x−5y)×x(x+y)(x+y)(x−y)
x(x−5y)×x2+xy(x+y)(x−y)⇒x2−xy−5xy+5y2x(x−5y)×x(x+y)(x+y)(x−y)⇒x(x−y)−5y(x−y)x(x−5y)×x(x+y)(x+y)(x−y)⇒(x−5y)(x−y)x(x−5y)×x(x+y)(x+y)(x−y)
x(x−5y)×x2+xy(x+y)(x−y)⇒x2−xy−5xy+5y2x(x−5y)×x(x+y)(x+y)(x−y)⇒x(x−y)−5y(x−y)x(x−5y)×x(x+y)(x+y)(x−y)⇒(x−5y)(x−y)x(x−5y)×x(x+y)(x+y)(x−y)=1.
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