Multiply Using the Rule for the Product of the Sum $\left( 5 a ^ { n } + 4 \right) \left( 5 a ^ { n } - 4 \right)$

question 45

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $\left( 5 a ^ { n } + 4 \right) \left( 5 a ^ { n } - 4 \right)$

• A) \(25 a ^ { n } - 16\)
• B) \(5 a ^ { 2 n } - 16\)
• C) \(25 a ^ { 2 n } + 40 a ^ { n } - 16\)
• D) \(25 a ^ { 2 n } - 16\)

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Definitions:

Kinetic Energy

The energy of motion.

Chemical Bond Energy

The energy required to break a chemical bond and separate molecules into their constituent atoms or ions.

Trypsin

An enzyme produced in the pancreas that helps digest proteins by breaking them down into amino acids during digestion.

Pepsin

A digestive enzyme found in the stomach that breaks down proteins into peptides, playing a crucial role in the digestive process.