Perform the Operation and Simplify $- 3 a ^ { 2 } ( a + 1 ) + 7 a \left( a ^ { 2 } - 4 \right) - a ^ { 2 } ( a + 9 )$

question 97

Multiple Choice

Perform the operation and simplify. $- 3 a ^ { 2 } ( a + 1 ) + 7 a \left( a ^ { 2 } - 4 \right) - a ^ { 2 } ( a + 9 )$

• A) \(\quad 3 a ^ { 2 } + 12 a ^ { 4 } - 28\)
• B) \(\quad 3 a ^ { 3 } - 12 a ^ { 2 } - 28\)
• C) 0
• D) \(\quad 3 a ^ { 3 } - 12 a ^ { 2 } - 28 a\)

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Definitions:

Population

The total number of people under consideration.

Sample

A subset of individuals from a larger population, selected for participation in a research study, meant to represent the larger group.

Cohort

A group of individuals sharing a specific characteristic, typically defined by age, who are studied over a period of time.

Variables

Elements or factors that can change and affect the outcome of scientific experiments or research studies, allowing researchers to determine effects and correlations.