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Popular >

simplify x/(x+1)(x-1/x)

Solution

simplify

\frac{x}{x + 1} (x - \frac{1}{x})

Solution

x - 1

Solution steps

\frac{x}{x + 1} (x - \frac{1}{x})

Join

x - \frac{1}{x} : \frac{x ^{2} - 1}{x}

= \frac{x}{x + 1} \cdot \frac{x ^{2} - 1}{x}

Cross-cancel common factor:

x

= \frac{x ^{2} - 1}{x + 1}

Cancel

\frac{x ^{2} - 1}{x + 1} : x - 1

= x - 1

Popular Examples

2 \div \frac{1}{5}

factor 12x^4-20x^3+4x^2 factor

12 x^{4} - 20 x^{3} + 4 x^{2}

simplify 40/44 simplify

\frac{40}{44}

factor 10x+10 factor

10 x + 10

simplify 86+(-38)simplify

86 + (- 38)

Frequently Asked Questions (FAQ)

What is x/(x+1)(x-1/x) ?
The solution to x/(x+1)(x-1/x) is x-1