What is (6x^2+x-2)/(9x^2-4) ?

The solution to (6x^2+x-2)/(9x^2-4) is (2x-1)/(3x-2)

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simplify (6x^2+x-2)/(9x^2-4)

simplify

\frac{6 x ^{2} + x - 2}{9 x ^{2} - 4}

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

Solution steps

\frac{6 x ^{2} + x - 2}{9 x ^{2} - 4}

Factor

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

= \frac{( 2 x - 1 ) ( 3 x + 2 )}{9 x ^{2} - 4}

Factor

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

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

Cancel the common factor:

3 x + 2

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

(z - 4)^{2}

4 x (3 x - 7) - 19 x^{2}

\frac{6}{3 x} + \frac{x + 5}{x ^{3}} + \frac{1 - 2 x ^{2}}{x ^{4}}

1 + \frac{i}{1 + \frac{i}{1 + \frac{i}{1 + i}}}

tan (θ) cos (θ)

What is (6x^2+x-2)/(9x^2-4) ?
The solution to (6x^2+x-2)/(9x^2-4) is (2x-1)/(3x-2)