Factor Using the Binomial Theorem $x ^ { 4 } - 4 x ^ { 3 } y ^ { 2 } + 6 x ^ { 2 } y ^ { 4 } - 4 x y ^ { 6 } + y ^ { 8 }$

question 55

Essay

Factor using the Binomial Theorem. $x ^ { 4 } - 4 x ^ { 3 } y ^ { 2 } + 6 x ^ { 2 } y ^ { 4 } - 4 x y ^ { 6 } + y ^ { 8 }$

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Definitions:

Chronic Obstructive Pulmonary Disease (COPD)

A group of progressive lung diseases, including emphysema and chronic bronchitis, characterized by airflow obstruction and breathing-related problems.

Paroxysmal Nocturnal Dyspnea

A condition characterized by sudden, severe shortness of breath at night, often waking the person from sleep, commonly associated with heart failure.

Tachycardia

A condition where the heart rate exceeds the norm for an individual's age, resting at over 100 beats per minute.

Orthopnea

Difficulty in breathing that occurs when lying down and is typically relieved by sitting or standing up, often associated with heart failure.