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Simplify: $\dfrac{2}{{x}^{2}-x}+\dfrac{x^{2}+x+1}{x^{3}-1}-\dfrac{x}{{x}^{2}-1}, ~~(x \neq 0;x \neq \pm1)$
in Mathematics by Diamond (53,824 points) | 19 views

1 Answer

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factorize and simplify

= 2/x(x-1) + (x^2 +x+1)/(x-1)(x^2 +x+1)   -   x/(x-1)(x+1)

= (2x+2+2x+2-x^2)/x(x-1)(x+1)

=(-x^2 +4x+4)/x(x-1)(x+1)
by Diamond (40,306 points)

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