What is (2x^3-8x)/(6x^2+9x-6) ?

The solution to (2x^3-8x)/(6x^2+9x-6) is (2x(x-2))/(3(2x-1))

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simplify (2x^3-8x)/(6x^2+9x-6)

simplify

\frac{2 x ^{3} - 8 x}{6 x ^{2} + 9 x - 6}

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

Solution steps

\frac{2 x ^{3} - 8 x}{6 x ^{2} + 9 x - 6}

Factor

2 x^{3} - 8 x : 2 x (x + 2) (x - 2)

= \frac{2 x ( x + 2 ) ( x - 2 )}{6 x ^{2} + 9 x - 6}

Factor

6 x^{2} + 9 x - 6 : 3 (2 x - 1) (x + 2)

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

Cancel the common factor:

x + 2

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

(x - 3) (x + 10)

\frac{21}{24}

(x - 5) (x - 4)

(- tan (x))^{2}

24 x^{2}

What is (2x^3-8x)/(6x^2+9x-6) ?
The solution to (2x^3-8x)/(6x^2+9x-6) is (2x(x-2))/(3(2x-1))