Упростите выражение
(x+[tex]\frac{1}{x-2}[/tex])×[tex]\frac{x^{2}-4 }{x^{3}-2x+x }[/tex]
(x+[tex]\frac{1}{x-2}[/tex])×[tex]\frac{x^{2}-4 }{x^{3}-2x+x }[/tex]
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Ответ:
Объяснение:
((x+(1/(x-2)))*((x^2-4)/(x^3-2x+x))
((x*(x-2)+1)/(x-2))+(((x-2)*(x+2))/(x^3-x))
(6(x-1)^2)*((x+2)/(x*(x-1)*(x+1)))
(x-1)*((x+2)/(x*(x+1)))
((x-1)*(x+2))/(x*(x+1))
(x^2+2x-x-2)/(x^2+x)
(x^2+x-2)/(x^2+x)