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Find the Coefficient Of x3x ^ { 3 } In the Binomial Series For

question 341

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Find the coefficient of x3x ^ { 3 } in the binomial series for (1+x) 5( 1 + x ) ^ { 5 } .


Definitions:

Vena Cava

A large vein carrying deoxygenated blood into the heart, consisting of two main branches, the superior and inferior vena cava.

Arteriole Branch

A small branch of an artery leading into capillaries, responsible for regulating blood flow from arteries to capillaries.

Infarction

The blockage of blood flow to a specific organ or area of tissue, leading to the local demise of that tissue.

Severe Headache

A type of pain in the head that is intense and often debilitating.

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