Use the Binomial Theorem to Expand and Simplify the Expression $( 2 \sqrt { t } - 5 ) ^ { 3 }$

question 26

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( 2 \sqrt { t } - 5 ) ^ { 3 }$ ​

• A) \(8 t ^ { 3 / 2 } - 60 t + 150 t ^ { 1 / 2 } - 125\)
• B) \(8 t ^ { 3 / 2 } - 60 t + 150 t ^ { 1 / 2 } + 125\)
• C) \(8 t ^ { 3 / 2 } - 60 t - 150 t ^ { 1 / 2 } - 125\)
• D) \(8 t ^ { 3 / 2 } + 60 t + 150 t ^ { 1 / 2 } + 125\)
• E) \(8 t ^ { 3 / 2 } + 60 t - 150 t ^ { 1 / 2 } - 125\)

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Definitions:

Joint Tenancy

A form of property ownership in which two or more individuals hold equal rights to the entire property, and upon the death of one, the survivor(s) automatically assume the deceased's part.

Severing

The act of legally separating or dividing property rights, often in the context of joint tenancies turning them into tenancies in common.

Adverse Possession

The process by which one can legally claim ownership of property by occupying it for a certain period, under certain conditions, without the permission of the owner.

Life Tenant

An individual who has the right to use or occupy property during their lifetime, but cannot sell or transfer the property.