Factor Out the Greatest Common Factor $48 x ^ { 8 } y ^ { 8 } - 84 x ^ { 4 } y ^ { 5 } + 24 x ^ { 6 } y ^ { 2 }$

question 332

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $48 x ^ { 8 } y ^ { 8 } - 84 x ^ { 4 } y ^ { 5 } + 24 x ^ { 6 } y ^ { 2 }$

• A) \(12 x ^ { 4 } y ^ { 2 } \left( 4 x ^ { 4 } y ^ { 6 } - 7 y ^ { 3 } + 2 x ^ { 2 } \right)\)
• B) \(12 \left( 4 x ^ { 8 } y ^ { 8 } - 7 x ^ { 4 } y ^ { 5 } + 2 x ^ { 6 } y ^ { 2 } \right)\)
• C) \(12 x ^ { 4 } \left( 4 x ^ { 4 } y ^ { 8 } - 7 y ^ { 5 } + 2 x ^ { 2 } y ^ { 2 } \right)\)
• D) \(x ^ { 4 } y ^ { 2 } \left( 48 x ^ { 4 } y ^ { 6 } - 84 y ^ { 3 } + 24 x ^ { 2 } \right)\)

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Definitions:

Receptors

Specialized cells or proteins in organisms that bind to specific molecules like neurotransmitters or hormones, initiating a biological response.

Dendrite

The branched projections of a neuron that act to conduct the electrochemical stimulation received from other neural cells to the body, or soma, of the neuron.

Neurotransmitter

Chemical messengers that transmit signals across the synaptic gaps between neurons.

Glial Cells

Glial cells are non-neuronal cells in the central and peripheral nervous system that provide support and protection for neurons, playing a crucial role in maintaining brain homeostasis.