Perform the Indicated Operations and Simplify $\left( \alpha x ^ { 2 } - y ^ { 2 } \right) \left( \alpha x ^ { 2 } + y ^ { 2 } \right)$

question 144

Multiple Choice

Perform the indicated operations and simplify. $\left( \alpha x ^ { 2 } - y ^ { 2 } \right) \left( \alpha x ^ { 2 } + y ^ { 2 } \right)$

• A) \(a ^ { 2 } x ^ { 2 } - y ^ { 2 }\)
• B) \(a ^ { 2 } x ^ { 4 } + a x ^ { 2 } y ^ { 2 } - y ^ { 4 }\)
• C) \(a ^ { 2 } x ^ { 4 } - y ^ { 4 }\)
• D) \(a ^ { 2 } x ^ { 4 } - a x ^ { 2 } y ^ { 2 } - y ^ { 4 }\)
• E) \(a ^ { 2 } x ^ { 4 } + y ^ { 4 }\)

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Definitions:

Auxiliary Speed

Refers to an additional speed setting or mechanism that supports the primary operations, often used in machinery to provide alternative operational modes.

Ovalled

Describes a condition where an originally round shape has deformed to an oval shape, often due to wear or damage.

Dial Indicator

A precision measuring tool used to gauge small distances or angles, often in machining and engineering applications.

Needle Deflects

The movement of a needle on a gauge or dial, typically indicating a change in pressure, speed, or other measurement.