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

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

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

simplify

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

\frac{3 x + 2}{x + 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 1

= \frac{3 x + 2}{x + 1}

9 (6 n + 7) - 7 n

(x - 2 y + z)^{2}

6 (x + 1)^{2}

\frac{1}{\frac{1}{2}} \cdot 3

15 + (- 2)