What is (x^2-1)/(3x^2-2x-1) ?

The solution to (x^2-1)/(3x^2-2x-1) is (x+1)/(3x+1)

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simplify (x^2-1)/(3x^2-2x-1)

simplify

\frac{x ^{2} - 1}{3 x ^{2} - 2 x - 1}

\frac{x + 1}{3 x + 1}

Solution steps

\frac{x ^{2} - 1}{3 x ^{2} - 2 x - 1}

Factor

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

= \frac{( x + 1 ) ( x - 1 )}{3 x ^{2} - 2 x - 1}

Factor

3 x^{2} - 2 x - 1 : (3 x + 1) (x - 1)

= \frac{( x + 1 ) ( x - 1 )}{( 3 x + 1 ) ( x - 1 )}

Cancel the common factor:

x - 1

= \frac{x + 1}{3 x + 1}

x \to \infty lim (\frac{x}{1})

4 (\frac{4}{5})

- 4 i^{3}

\frac{18 x ^{4}}{6 x ^{2}}

x^{3} y^{4} x^{- 2} y^{3}

What is (x^2-1)/(3x^2-2x-1) ?
The solution to (x^2-1)/(3x^2-2x-1) is (x+1)/(3x+1)