Respuesta :

Hey there!

These are technically expressed as fraction. When you divide a fraction by another, you can replace the second fraction with its reciprocal and you can now multiply the fractions together instead. 

[tex]\frac{x^2-x-12}{2x^2} / \frac{x^2+x-6}{2x^3}[/tex]

[tex]\frac{x^2-x-12}{2x^2} * \frac{2x^3}{x^2+x-6}[/tex]

Now, just multiply across the top and the bottom. You can first cancel out any terms that are repeated or similar. 

[tex]\frac{12}{2x^2} * \frac{2x^3}{-6}[/tex]

[tex]\frac{2}{x} * \frac{1}{-1}[/tex]

[tex]\frac{2}{-x}[/tex]

Your answer will be [tex]\frac{2}{-x}[/tex]. 

Hope this helped you out! :-)
I strongly urge you to use parentheses here, to remove any ambiguity regarding which quantity is being divided by which quantity.  I'm assuming that you meant

(x^2−x−12)/(2x^2)÷(x^2+x−6)/2x^3.  If that is correct, great.  If not, fix it!  Once correct, you can perform the divisions from left to right, beginning with (x^2-x-12)/2x^2.
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