What is (3x^2+13x-10)/(9x^2-4) ?

The solution to (3x^2+13x-10)/(9x^2-4) is (x+5)/(3x+2)

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simplify (3x^2+13x-10)/(9x^2-4)

simplify

\frac{3 x ^{2} + 13 x - 10}{9 x ^{2} - 4}

\frac{x + 5}{3 x + 2}

Solution steps

\frac{3 x ^{2} + 13 x - 10}{9 x ^{2} - 4}

Factor

3 x^{2} + 13 x - 10 : (3 x - 2) (x + 5)

= \frac{( 3 x - 2 ) ( x + 5 )}{9 x ^{2} - 4}

Factor

9 x^{2} - 4 : (3 x + 2) (3 x - 2)

= \frac{( 3 x - 2 ) ( x + 5 )}{( 3 x + 2 ) ( 3 x - 2 )}

Cancel the common factor:

3 x - 2

= \frac{x + 5}{3 x + 2}

\frac{24 x ^{6}}{12 x ^{- 8}}

(- 11 - 7 i) (2 + 6 i)

(8 + 8 i) (12 - 10 i)

2^{l o g_{2} (x)}

(x - 1)^{2} + 2

What is (3x^2+13x-10)/(9x^2-4) ?
The solution to (3x^2+13x-10)/(9x^2-4) is (x+5)/(3x+2)