What is (3x^2-7x-6)/(x^2-9) ?

The solution to (3x^2-7x-6)/(x^2-9) is (3x+2)/(x+3)

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simplify (3x^2-7x-6)/(x^2-9)

simplify

\frac{3 x ^{2} - 7 x - 6}{x ^{2} - 9}

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

Solution steps

\frac{3 x ^{2} - 7 x - 6}{x ^{2} - 9}

Factor

3 x^{2} - 7 x - 6 : (3 x + 2) (x - 3)

= \frac{( 3 x + 2 ) ( x - 3 )}{x ^{2} - 9}

Factor

x^{2} - 9 : (x + 3) (x - 3)

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

Cancel the common factor:

x - 3

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

42 + 318

3 (x + 8)

\frac{- 36 x ^{3}}{42 x ^{2}}

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

lo g_{10} (6.4)

What is (3x^2-7x-6)/(x^2-9) ?
The solution to (3x^2-7x-6)/(x^2-9) is (3x+2)/(x+3)