Find the Specified Nth Term in the Expansion of the Binomial.​

question 12

Multiple Choice

Find the specified nth term in the expansion of the binomial.​ $( 4 a + 5 b ) ^ { 5 } , n = 5$ ​

• A) \(12,500 a b ^ { 4 }\)
• B) \(12,500 a b\)
• C) \(12,500 a ^ { 4 } b\)
• D) \(12,500 a ^ { 4 } b ^ { 4 }\)
• E) \(12,500 a ^ { 5 } b ^ { 5 }\)

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Definitions:

Fill In

A phrase often used in education and testing to describe a task where the respondent must complete or provide missing information.

Combine

The act of merging or bringing things together to form a whole, often used in mathematics to refer to combining like terms or equations.

Simplify

To alter an expression into its most reduced or simplest form, making it easier to understand or solve.

Least Common Multiple

The smallest positive integer that is a multiple of two or more integers.