What is (6x^3+13x^2-5x)/(4x^2-25) ?

The solution to (6x^3+13x^2-5x)/(4x^2-25) is (x(3x-1))/(2x-5)

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simplify (6x^3+13x^2-5x)/(4x^2-25)

simplify

\frac{6 x ^{3} + 13 x ^{2} - 5 x}{4 x ^{2} - 25}

\frac{x ( 3 x - 1 )}{2 x - 5}

Solution steps

\frac{6 x ^{3} + 13 x ^{2} - 5 x}{4 x ^{2} - 25}

Factor

6 x^{3} + 13 x^{2} - 5 x : x (3 x - 1) (2 x + 5)

= \frac{x ( 3 x - 1 ) ( 2 x + 5 )}{4 x ^{2} - 25}

Factor

4 x^{2} - 25 : (2 x + 5) (2 x - 5)

= \frac{x ( 3 x - 1 ) ( 2 x + 5 )}{( 2 x + 5 ) ( 2 x - 5 )}

Cancel the common factor:

2 x + 5

= \frac{x ( 3 x - 1 )}{2 x - 5}

sec (x) tan (x) + sec^{2} (x)

(y^{2} - 6 y + 10)^{2}

(1 - sin^{2} (x)) (1 + tan^{2} (x))

x y + x

\frac{9}{2} - \frac{3}{2}

What is (6x^3+13x^2-5x)/(4x^2-25) ?
The solution to (6x^3+13x^2-5x)/(4x^2-25) is (x(3x-1))/(2x-5)