Factor Out the Greatest Common Factor $15 x ^ { 2 } + 18 x y + 20 x y + 24 y ^ { 2 }$

question 606

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $15 x ^ { 2 } + 18 x y + 20 x y + 24 y ^ { 2 }$

• A) \(( 3 x - 4 y ) ( 5 x + 6 y )\)
• B) \(( 3 x + 4 ) ( 5 x + 6 )\)
• C) \(( 3 x + 4 y ) ( 5 x + 6 y )\)
• D) \(( 15 x + 4 y ) ( x + 6 y )\)

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Definitions:

Basal Metabolic Rate

The speed at which the body consumes energy to support crucial life processes like breathing and staying warm when in a state of rest.

Diabetes Mellitus

A metabolic disease characterized by high blood sugar levels over a prolonged period, due to insulin production or response issues.

Adenohypophysis

The anterior lobe of the pituitary gland, responsible for secreting several key hormones that regulate growth, reproduction, and metabolism.

Anterior Lobe

The front part of an organ or gland, such as the anterior lobe of the pituitary gland, involved in hormone secretion.