Find the Product or Quotient $$\frac { 9 x ^ { 2 } + 64 x - 64 } { 5 x - 20 } \cdot \frac { x ^ { 2 } - 4 x } { 81 x ^ { 2 } - 64 } \div \frac { 8 x + 64 } { 3 x ^ { 3 } }$$

question 24

Multiple Choice

Find the product or quotient.
- $$\frac { 9 x ^ { 2 } + 64 x - 64 } { 5 x - 20 } \cdot \frac { x ^ { 2 } - 4 x } { 81 x ^ { 2 } - 64 } \div \frac { 8 x + 64 } { 3 x ^ { 3 } }$$

• A) \(\frac { 8 ( x + 8 ) ^ { 2 } } { 15 x ^ { 2 } ( 9 x + 8 ) }\)
• B) \(\frac { 40 } { 3 x ^ { 4 } ( 9 x + 8 ) }\)
• C) \(\frac { 3 x ^ { 4 } } { 40 ( 9 x + 8 ) }\)
• D) \(\frac { 3 x ^ { 3 } } { 40 ( 9 x + 8 ) }\)

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Definitions:

Adaptive

Characterized by or showing the ability to change or adjust effectively to different conditions or environments.

Protein Synthesis

The biological process by which cells build proteins based on the genetic instructions encoded in DNA and carried by mRNA.

Biological Variation

Differences among individuals and populations in physical, physiological, and genetic characteristics due to evolutionary, environmental, and genetic factors.

Creationism

The belief that the universe and living organisms originate from specific acts of divine creation, as in the biblical account, rather than by natural processes such as evolution.