What is (4x^3-16x)/(2x^2+2x-12) ?

The solution to (4x^3-16x)/(2x^2+2x-12) is (2x(x+2))/(x+3)

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simplify (4x^3-16x)/(2x^2+2x-12)

simplify

\frac{4 x ^{3} - 16 x}{2 x ^{2} + 2 x - 12}

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

Solution steps

\frac{4 x ^{3} - 16 x}{2 x ^{2} + 2 x - 12}

Factor

4 x^{3} - 16 x : 4 x (x + 2) (x - 2)

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

Factor

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

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

Cancel the common factor:

x - 2

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

4 t - 10

49 + 16

(y + 2)^{2} - 5 (y - 2)^{2}

cos^{2} (x) + sin^{2} (x)

(lo g_{2} (3))^{2}

What is (4x^3-16x)/(2x^2+2x-12) ?
The solution to (4x^3-16x)/(2x^2+2x-12) is (2x(x+2))/(x+3)