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Simplifying rational expressions

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This solver simplifies rational expressions. This calculator factor both the numerator and denominator completely then reduce the expression by canceling common factors. Able to display the work process, and the detailed explanation. $$\frac{x^2+1}{2x^2-4x+2} ~ + ~\frac{x}{(x-1)^2} - \frac{x+1}{x^2-2x+1}$$

Simplifying rational expressions
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1/x-1/(x+1)
x/(x^2+2x+1)+1/(x+1)
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Examples
ex 1:
Simplify: $\frac{x^2+x-2}{3x^2-4x+1}$
ex 2:
Simplify expression: $\frac{2x^2 + x}{2x^3 + 7x^2 + 3x}$
ex 3:
Simplify expression: $\dfrac{\frac{1}{x}-\frac{1}{2x+1}}{\frac{4x}{2x+1}}$
ex 4:
Simplify expression: $\frac{x^2+1}{2x^2-4x+2} ~ + ~\frac{x}{(x-1)^2} - \frac{x+1}{x^2-2x+1}$
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