Use the Binomial Theorem to Expand the Expression $\left( x - 2 y ^ { 5 } \right) ^ { 4 }$

question 35

Multiple Choice

Use the Binomial Theorem to expand the expression $\left( x - 2 y ^ { 5 } \right) ^ { 4 }$ .

• A) \(x ^ { 4 } - 8 x ^ { 3 } y + 24 x ^ { 2 } y ^ { 2 } - 32 x y ^ { 3 } + 16 y ^ { 4 }\)
• B) \(x ^ { 4 } - 8 x ^ { 3 } y ^ { 5 } + 24 x ^ { 2 } y ^ { 10 } - 32 x y ^ { 15 } + 16 y ^ { 20 }\)
• C) \(x ^ { 4 } - 2 x ^ { 3 } y + 4 x ^ { 2 } y ^ { 2 } - 8 x y ^ { 3 } + 16 y ^ { 4 }\)
• D) \(x ^ { 4 } + 4 x ^ { 3 } y ^ { 5 } + 6 x ^ { 2 } y ^ { 10 } + 4 x y ^ { 15 } + y ^ { 20 }\)
• E) \(x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }\)

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Definitions:

Wage and Salary Administration

The process of organizing and managing employee compensation based on job roles, experience, and performance.

Pay Inversion

A situation where a more junior employee ends up making more money than their more senior counterparts, often due to market rate changes or hiring practices.

Pay Compression

A situation where there is only a small difference in pay between employees regardless of their skills, experience, or seniority.

Defined Contribution Plan

A retirement plan in which the amount of the employer's annual contribution is specified.