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Popular >

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

Solution

simplify

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

Solution

\frac{y}{y - 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

y + 1

= \frac{y}{y - 1}

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Frequently Asked Questions (FAQ)

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