Use the Distributive Property to Help Simplify the Expression $- \frac { 2 } { 3 } \sqrt { 18 } + \frac { 4 } { 5 } \sqrt { 18 } - \frac { 5 } { 6 } \sqrt { 18 }$

question 136

Multiple Choice

Use the distributive property to help simplify the expression. $- \frac { 2 } { 3 } \sqrt { 18 } + \frac { 4 } { 5 } \sqrt { 18 } - \frac { 5 } { 6 } \sqrt { 18 }$

• A) \(- \frac { 14 \sqrt { 2 } } { 15 }\)
• B) \(\frac { 26 \sqrt { 2 } } { 25 }\)
• C) \(- \frac { \sqrt { 2 } } { 21 }\)
• D) \(- \frac { 21 \sqrt { 2 } } { 10 }\)

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Definitions:

Density

The mass per unit volume of a substance, commonly expressed in grams per cubic centimeter or kilograms per cubic meter.

Volume

Volume refers to the amount of space that a substance or object occupies, or that is enclosed within a container, usually quantified in cubic units.

Mass

A quantification of the volume of matter present in an object, often stated in terms of kilograms or grams.

Density

The mass per unit volume of a substance, often measured in grams per cubic centimeter or kilograms per cubic meter.