Factor the Binomial Completely $32 a ^ { 4 } b - 18 b ^ { 3 }$

question 141

Multiple Choice

Factor the binomial completely.
- $32 a ^ { 4 } b - 18 b ^ { 3 }$

• A) \(2 b ( 4 a + 3 b ) ^ { 2 }\)
• B) \(2 b ( 4 a - 3 b ) ^ { 2 }\)
• C) \(2 b \left( 4 a ^ { 2 } + 3 b \right) \left( 4 a ^ { 2 } - 3 b \right)\)
• D) \(( 8 a + 6 b ) \left( 4 a b - 3 b ^ { 2 } \right)\)

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Definitions:

Total Overhead Variance

The difference between total actual and applied overhead.

Direct Labor Hours

The total hours worked by employees directly involved in the manufacturing process, often used to allocate labor costs to products.

Quantity Variances

The difference between the expected and actual number of units used or produced, which can affect costing and budgeting assessments.

Price Variance

The difference between the actual price paid for a purchase and the standard or expected price, usually applied to direct materials or direct labor costs.