Simplify the Rational Expression $\frac { 6 x + 6 } { 2 x ^ { 3 } + 2 }$

question 240

Multiple Choice

Simplify the rational expression.
- $\frac { 6 x + 6 } { 2 x ^ { 3 } + 2 }$

• A) \(\frac { 3 } { x ^ { 2 } - x + 1 }\)
• B) \(\frac { 3 } { x ^ { 2 } + 1 }\)
• C) \(\frac { 3 } { x ^ { 2 } + x + 1 }\)
• D) \(\frac { 3 } { \mathrm { x } ^ { 2 } }\)

---

Definitions:

Diels-Alder Reaction

A chemical reaction between a conjugated diene and a substituted alkene, typically producing a cyclic compound.

Dienophiles

Chemical species that participate in Diels-Alder reactions by combining with dienes to form cyclic compounds.

Major Product

The product of a chemical reaction that forms in the greatest amount, determined by reaction pathways that are most favored energetically.

Reaction

The method of transforming one or more reactants into new, differentiated substances called products.