Автор - lilnon23

упростить выражение (х²+9/х²-6х+9. +. х-3/3-х) : 9/х²-9​

Ответ

Автор - 000LeShKa000

Объяснение:

frac{x-3}{3-x} = -frac{3-x}{3-x} = -1\frac{x^2+9}{x^2-6x+9}-1 = frac{x^2+9}{(x-3)^2} - 1 = frac{x^2+9+(x-3)^2}{(x-3)^2} = \= frac{x^2 + 9 - x^2 - 6x - 9}{(x-3)^2} = frac{-6x}{(x-3)^2}\\\frac{frac{-6x}{(x-3)^2}}{frac{9}{x^2-9}} = frac{-6x(x^2-9)}{9(x-3)^2} = frac{-6x(x-3)(x+3)}{9(x-3)^2} = frac{-2x(x+3)}{3(x-3)}

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