Perform the Indicated Operation and Simplify $$( 4 + 10 \mathrm { i } ) ^ { 2 }$$

question 300

Multiple Choice

Perform the indicated operation and simplify. Write the result in the form a + bi.
- $$( 4 + 10 \mathrm { i } ) ^ { 2 }$$

• A) \(16 + 100 \mathrm { i }\)
• B) \(- 84 + 80 \mathrm { i }\)
• C) \(116 + 80 \mathrm { i }\)
• D) \(16 - 100 \mathrm { i }\)

---

Definitions:

Symbolic Form

Representation of ideas, concepts, or instructions in a set of symbols or a symbolic language.

Components

Pieces or parts that when combined form a complete unit or system, each serving a specific role within the whole.

Connective

A word or phrase in logic that connects propositions in such a way that the truth or falsehood of the compound proposition depends on the truth or falsehood of the components.

Inconsistent

Lacking compatibility or uniformity in actions, values, methods, measures, principles, or expectations; in logic, having two or more propositions that cannot all be true at the same time.