Factor by Any Method $15 a ^ { 3 } - 12 a ^ { 2 } b - 10 a b ^ { 2 } + 8 b ^ { 3 }$

question 402

Multiple Choice

Factor by any method.
- $15 a ^ { 3 } - 12 a ^ { 2 } b - 10 a b ^ { 2 } + 8 b ^ { 3 }$

• A) \(\left( 3 a ^ { 2 } + 2 b ^ { 2 } \right) ( 5 a + 4 b )\)
• B) \(\left( 3 a ^ { 2 } - 2 b \right) ( 5 a - 4 b )\)
• C) \(\left( 15 a ^ { 2 } - 2 b ^ { 2 } \right) ( a - 4 b )\)
• D) \(\left( 3 a ^ { 2 } - 2 b ^ { 2 } \right) ( 5 a - 4 b )\)

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Definitions:

Glucose Metabolism

The process by which cells convert glucose into energy, involving pathways like glycolysis and the citric acid cycle.

Metabolic Syndrome

A cluster of conditions—increased blood pressure, high blood sugar, excess body fat around the waist, and abnormal cholesterol levels—that occur together, increasing your risk of heart disease, stroke, and diabetes.

Type 1 Diabetes

An autoimmune condition where the pancreas produces little or no insulin, requiring daily insulin administration for management.

Cardiovascular Disease

This category includes medical conditions impacting the heart or the circulatory system, like coronary artery disease, hypertension, and strokes.