What is (3x^2+5x-2)/(7x^2+12x-4) ?

The solution to (3x^2+5x-2)/(7x^2+12x-4) is (3x-1)/(7x-2)

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simplify (3x^2+5x-2)/(7x^2+12x-4)

simplify

\frac{3 x ^{2} + 5 x - 2}{7 x ^{2} + 12 x - 4}

\frac{3 x - 1}{7 x - 2}

Solution steps

\frac{3 x ^{2} + 5 x - 2}{7 x ^{2} + 12 x - 4}

Factor

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

= \frac{( 3 x - 1 ) ( x + 2 )}{7 x ^{2} + 12 x - 4}

Factor

7 x^{2} + 12 x - 4 : (7 x - 2) (x + 2)

= \frac{( 3 x - 1 ) ( x + 2 )}{( 7 x - 2 ) ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{3 x - 1}{7 x - 2}

(- 2 - t)^{2}

64 - n^{3}

\frac{4}{x ^{2} - 25} + \frac{x + 2}{x ^{2} - 2 x - 15}

\frac{1}{2} x + 1

What is (3x^2+5x-2)/(7x^2+12x-4) ?
The solution to (3x^2+5x-2)/(7x^2+12x-4) is (3x-1)/(7x-2)