What is (2x^3-x^2-6x)/(2x^2-7x+6) ?

The solution to (2x^3-x^2-6x)/(2x^2-7x+6) is (x(2x+3))/(2x-3)

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simplify (2x^3-x^2-6x)/(2x^2-7x+6)

simplify

\frac{2 x ^{3} - x ^{2} - 6 x}{2 x ^{2} - 7 x + 6}

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

Solution steps

\frac{2 x ^{3} - x ^{2} - 6 x}{2 x ^{2} - 7 x + 6}

Factor

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

= \frac{x ( 2 x + 3 ) ( x - 2 )}{2 x ^{2} - 7 x + 6}

Factor

2 x^{2} - 7 x + 6 : (2 x - 3) (x - 2)

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

Cancel the common factor:

x - 2

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

(x + 2)^{2} + 3

12 x^{2} - 18 x

2 8 x^{2} - 5 x 32 + 5 18 x^{2}

\frac{4}{1000}

\frac{3 x}{10 x ^{2}} + \frac{7}{5 x ^{2}}

What is (2x^3-x^2-6x)/(2x^2-7x+6) ?
The solution to (2x^3-x^2-6x)/(2x^2-7x+6) is (x(2x+3))/(2x-3)