What is (3x^2-5x-2)/(x^2-4) ?

The solution to (3x^2-5x-2)/(x^2-4) is (3x+1)/(x+2)

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simplify (3x^2-5x-2)/(x^2-4)

simplify

\frac{3 x ^{2} - 5 x - 2}{x ^{2} - 4}

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

Solution steps

\frac{3 x ^{2} - 5 x - 2}{x ^{2} - 4}

Factor

3 x^{2} - 5 x - 2 : (3 x + 1) (x - 2)

= \frac{( 3 x + 1 ) ( x - 2 )}{x ^{2} - 4}

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

Cancel the common factor:

x - 2

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

30 x - 70 x^{4}

(2 x - 10)^{2}

lo g_{10} (\frac{7}{8})

(3 x^{4} - 6 x^{2} + 3) \cdot (x - 1) - 6

6 x^{2} - 12 x

What is (3x^2-5x-2)/(x^2-4) ?
The solution to (3x^2-5x-2)/(x^2-4) is (3x+1)/(x+2)