Simplify the Rational Expression $\frac { 4 x ^ { 2 } y + 8 x y ^ { 2 } - 12 y ^ { 3 } } { 30 x ^ { 3 } y - 20 x ^ { 2 } y ^ { 2 } - 10 x y ^ { 3 } }$

question 62

Multiple Choice

Simplify the rational expression. $\frac { 4 x ^ { 2 } y + 8 x y ^ { 2 } - 12 y ^ { 3 } } { 30 x ^ { 3 } y - 20 x ^ { 2 } y ^ { 2 } - 10 x y ^ { 3 } }$

• A) \(\frac { 2 } { 5 x }\)
• B) \(\frac { 2 ( x - 3 y ) } { 5 x y ( 3 x - y ) }\)
• C) \(\frac { 2 ( x + 3 y ) } { 5 x ( 3 x + y ) }\)
• D) \(\frac { 2 y ( x + 3 y ) } { 5 x ( x - 3 y ) }\)

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Definitions:

Hierarchy of Effects

A model in marketing that outlines the sequential steps customers go through in the process of purchasing a product, from awareness to action.

Fourth Stage

In the context of product life cycle, this refers to the decline stage, where sales decrease and a product may be phased out.

Interest

Monetary charge for borrowing money or the return on investment capital.

Awareness

The degree to which consumers are familiar with the presence and characteristics of a product, brand, or issue.