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x^2+7x+12/x^2+6x+9 : x^2-25/x^2+8x+15

Răspuns :

[tex]...= \dfrac{x^2+7x+12}{x^2+6x+9}\cdot\dfrac{x^2+8x+15}{x^2-25} = \dfrac{(x+3)(x+4)}{(x+3)^2}\cdot\dfrac{(x+5)(x+3)}{(x-5)(x+5)}\\\;\\ =\dfrac{x+4}{x-5}[/tex]