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Popular >

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

Solution

simplify

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

Solution

\frac{x - 1}{x}

Solution steps

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

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

Factor

x^{2} + x : x (x + 1)

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

Cancel the common factor:

x + 1

= \frac{x - 1}{x}

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Frequently Asked Questions (FAQ)

What is (x^2-1)/(x^2+x) ?
The solution to (x^2-1)/(x^2+x) is (x-1)/x