Perform the Indicated Operation Involving Rational Expressions $\frac { 8 a ^ { 2 } - 64 a } { a ^ { 3 } - 8 a ^ { 2 } } \cdot \frac { a ^ { 2 } - 16 a + 64 } { a ^ { 2 } - 64 }$

question 239

Multiple Choice

Perform the indicated operation involving rational expressions. $\frac { 8 a ^ { 2 } - 64 a } { a ^ { 3 } - 8 a ^ { 2 } } \cdot \frac { a ^ { 2 } - 16 a + 64 } { a ^ { 2 } - 64 }$

• A) \(\frac { 8 a ^ { 2 } + 64 } { a ^ { 2 } + 8 a }\)
• B) \(\frac { a - 8 } { a ^ { 2 } + 8 a }\)
• C) \(\frac { 8 } { a ^ { 2 } + 8 a }\)
• D) \(\frac { 8 a - 64 } { a ^ { 2 } + 8 a }\)

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Definitions:

Earth's Surface

The outermost layer of the Earth, consisting of land and water, where various ecosystems and human activities are located.

Plate Tectonics

A scientific theory explaining the movement of the Earth's lithospheric plates and the associated phenomena such as earthquakes.

Reserves of a Mineral

Quantities of a mineral that are known to exist with a reasonable degree of certainty and can be recovered economically with the existing technology under current economic conditions.

Earth's Innermost Zone

The Earth's core, which is the central part of the Earth below the mantle, consisting of a solid inner core and a fluid outer core primarily made of iron and nickel.