Factor the Expression Completely $$( 4 x - 4 y ) ^ { 3 } + 125$$

question 143

Multiple Choice

Factor the expression completely. $$( 4 x - 4 y ) ^ { 3 } + 125$$

• A) \(( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)\)
• B) \(( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)\)
• C) \(( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)\)
• D) \(( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x + 32 x y - 20 y + 16 y ^ { 2 } + 25 \right)\)
• E) \(( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)\)

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Definitions:

Leaf Litter Layer

The top layer of the forest floor covered by decomposing leaves, twigs, animal feces, and other organic materials.

Soil Horizon

A layer parallel to the soil surface, whose physical characteristics differ from the layers above and beneath.

Surface

The outermost or uppermost layer of something, often referring to land, a body of water, or a solid object.

Partially Decomposed

Refers to materials that have begun the process of decay and breakdown by bacteria, fungi, and other organisms, but have not yet fully decomposed.