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

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

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simplify (4x^2-12x)/(2x^3-2x^2-12x)

simplify

\frac{4 x ^{2} - 12 x}{2 x ^{3} - 2 x ^{2} - 12 x}

\frac{2}{x + 2}

Solution steps

\frac{4 x ^{2} - 12 x}{2 x ^{3} - 2 x ^{2} - 12 x}

Factor

4 x^{2} - 12 x : 4 x (x - 3)

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

Factor

2 x^{3} - 2 x^{2} - 12 x : 2 x (x + 2) (x - 3)

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

Cancel the common factor:

x

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

Cancel the common factor:

x - 3

= \frac{4}{2 ( x + 2 )}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2}{2 ( x + 2 )}

Cancel the common factor:

2

= \frac{2}{x + 2}

(k + 3)^{3}

12 - (- 3)

\frac{200}{6}

(3 + 7)^{2}

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

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