Simplify $( 5 + 2 i ) ^ { 2 } - ( 5 - 2 i ) ^ { 2 }$

question 52

Multiple Choice

Simplify $( 5 + 2 i ) ^ { 2 } - ( 5 - 2 i ) ^ { 2 }$ and write the answer in standard form.

• A) \(0\)
• B) \(40 i\)
• C) \(50 + 40 i\)
• D) \(50 + 8 i\)
• E) \(10 + 8 i\)

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Definitions:

Gases

Substances that exist in the gaseous state under standard conditions of temperature and pressure, often used as fuel, in industrial processes, or in refrigeration systems.

Liquids

Fluid substances that flow freely, have a consistent volume under standard conditions, and adapt to the shape of their containers.

Pressure Gauge

A device used to measure the pressure of gases or liquids in a system, crucial for monitoring and ensuring safe operating conditions.

Manometer

A single tube bent into a U-shape and mounted to a linear measuring scale. It may be filled to the zero on the calibration scale with either water (H2O) or mercury (Hg), depending on the pressure range to be measured.