Find the Following Product and Express Answer in Simplest Radical $2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )$

question 175

Short Answer

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )$

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Definitions:

Dieting

The practice of eating in a regulated manner to achieve or maintain a controlled weight.

Anorexia Nervosa

A serious psychological and eating disorder characterized by an extreme fear of weight gain and a distorted body image, leading to restricted food intake and excessive weight loss.

Teenage Girls

Female individuals who are in the age range of 13 to 19 years old, going through various physical, emotional, and social changes.

Teenage Boys

A demographic group defined by males typically aged between 13 to 19 years, undergoing physical, emotional, and psychological development.