Factor the Polynomial by Substitution $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

question 262

Multiple Choice

Factor the polynomial by substitution.
- $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

• A) \(( a - 9 b ) ( a + 8 b ) ( a + b )\)
• B) \(( a + b ) ^ { 2 } ( a - 9 ) ( a + 8 )\)
• C) \(( a + b ) ^ { 2 } ( a - 8 b ) ( a + 9 b )\)
• D) \(( a + b ) ^ { 2 } ( a - 9 b ) ( a + 8 b )\)

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Definitions:

Magical Thinking

A belief in the interconnectedness of unrelated phenomena, where an individual attributes cause and effect relationships to actions and events without scientific justification.

Debiasing

Reducing errors and biases by getting people to use deliberate processing rather than automatic processing.

Automatic Processing

The mental ability to perform tasks without conscious thought, often due to learning and habituation.

Ironic Processing

The phenomenon where attempting to suppress thoughts about something results in those thoughts becoming more prevalent.