Multiply and Simplify $\frac { ( x - 4 y ) ^ { 2 } } { x + 4 y } \cdot \frac { x ^ { 2 } + 10 x y + 24 y ^ { 2 } } { x ^ { 2 } - 16 y ^ { 2 } }$

question 37

Multiple Choice

Multiply and simplify. $\frac { ( x - 4 y ) ^ { 2 } } { x + 4 y } \cdot \frac { x ^ { 2 } + 10 x y + 24 y ^ { 2 } } { x ^ { 2 } - 16 y ^ { 2 } }$

• A) \(\frac { ( x + 4 y ) ( x - 6 y ) } { x - 4 y } , x \neq \pm 4 y\)
• B) \(x - 4 y , x \neq - 6 y\)
• C) \(x + 6 y , x \neq 0\)
• D) \(\frac { ( x - 4 y ) ( x + 6 y ) } { x + 4 y } , x \neq \pm 4 y\)
• E) \(\frac { ( x - 6 y ) ( x + 6 y ) } { x + 4 y } , x \neq 6 y\)

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Definitions:

Oceanic Crust

The type of thin, mafic crust that underlies the ocean basins.

Upper Mantle

The portion of the Earth's mantle that lies beneath the lithosphere, involved in tectonic processes and convection currents.

Lower Mantle

The lower mantle is the region of the Earth's interior between the core-mantle boundary and the upper mantle, characterized by high temperatures and pressures, composed mostly of silicate minerals.

Outer Core

The molten outer part of Earth’s core, extending from a depth of 2,900 km to 5,100 km.