Square the Quantity and Simplify the Result, If Possible $( 2 \sqrt { 2 r } - 1 ) ^ { 2 }$

question 117

Essay

Square the quantity and simplify the result, if possible. $( 2 \sqrt { 2 r } - 1 ) ^ { 2 }$

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Definitions:

Overgrazing

The depletion of vegetation due to continuous feeding by an excessive number of grazing animals, leading to land degradation.

Water Scarcity

A situation in which the available water resources are insufficient to meet the demands of a region.

Precipitation

Any form of water - liquid or solid - falling from the atmosphere to the Earth's surface, including rain, snow, sleet, and hail.

Evaporation

The process by which water transforms from a liquid to a gas or vapor state, often driven by heat from the sun, playing a critical role in the water cycle.