Разложите на множители: x − y − z ( y − x ) .. Created by elkurbanov07. algebra-ru

Разложите на множители: x − y − z ( y − x )...

DimaPuchkov

x - y- z(y - x) = (x - y) + z(x - y) = (x - y)(1 + z)

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$x - y - z\cdot ( y -x ) =-(-x+y)-z\cdot (y-x)=-(y-x)-z\cdot (y-x) =(y-x)\cdot (-1-z)=\\ \\ = (y-x)\cdot (-(1+z))=-(y-x)\cdot (1+z) =(x-y)\cdot (z+1)$

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