Write the Binomial Expansion of the Expression $\left( - 3 x ^ { 2 } - y \right) ^ { 5 }$

question 64

Multiple Choice

Write the binomial expansion of the expression.
- $\left( - 3 x ^ { 2 } - y \right) ^ { 5 }$

• A) \(- 243 x ^ { 10 } - 405 x ^ { 8 } y - 270 x ^ { 6 } y ^ { 2 } - 90 x ^ { 4 } y ^ { 3 } - 15 x ^ { 2 } y ^ { 4 } - y ^ { 5 }\)
• B) \(+ 243 x 10 + 405 x ^ { 8 } y + 270 x ^ { 6 } y ^ { 2 } + 90 x ^ { 4 } y ^ { 3 } + 15 x ^ { 2 } y ^ { 4 } + y ^ { 5 }\)
• C) \(- 243 x ^ { 10 } + 405 x ^ { 8 } y - 270 x ^ { 6 } y ^ { 2 } + 90 x ^ { 4 } y ^ { 3 } - 15 x ^ { 2 } y ^ { 4 } + y ^ { 5 }\)
• D) \(- 243 x ^ { 10 } - 405 x ^ { 8 } y + 270 x ^ { 6 } y ^ { 2 } - 90 x ^ { 4 } y ^ { 3 } + 15 x ^ { 2 } y ^ { 4 } - y ^ { 5 }\)

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Definitions:

Critical Value

A threshold value in hypothesis testing that separates the region where the null hypothesis is rejected from the region where it is not.

Effect Size

A quantitative measure of the magnitude of the difference between groups or the strength of a relationship.

Simple Formula

An equation or expression that straightforwardly expresses a mathematical relationship between variables or quantities.

Effect Size

Represents the magnitude of the difference between groups in a study, providing insight into the practical significance of the research findings.