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vasyapanin2018
@vasyapanin2018
July 2022
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[24 балла] Упростить:
[tex] \frac{x^2-1}{x^2+x+1} : \frac{x+1}{x^3-1} + \frac{2}{ \frac{1}{x}}
[/tex]
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Answers & Comments
hhh54
((x^2-1)/(x^2+x+1))/((x+1)/(x^3-1))+2/(1/x)=(x^2-1)*(x^3-1)/((x+1)*(x^2+x+1))+2x=x^2+1;
Ответ: x^2+1.
1 votes
Thanks 1
mikael2
(x-1)(x+1)*(x-1)(x²+x+1)
------------------------------- = (x-1)²
(x²+x+1)*(x+1)
(x-1)²+2x=x²-2x+1+2x=
x²+1
3 votes
Thanks 1
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Answers & Comments
Ответ: x^2+1.
------------------------------- = (x-1)²
(x²+x+1)*(x+1)
(x-1)²+2x=x²-2x+1+2x=x²+1