Multiply, and Then Simplify If Possible $( 3 \sqrt { x } + 5 ) ( \sqrt { 3 x } - 5 )$

question 98

Multiple Choice

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
- $( 3 \sqrt { x } + 5 ) ( \sqrt { 3 x } - 5 )$

• A) \(3 x - 25\)
• B) \(3 x - 30 \sqrt { x } - 25\)
• C) \(3 x \sqrt { 3 } - 15 \sqrt { x } + 5 \sqrt { 3 x } - 25\)
• D) \(3 x \sqrt { 3 } - 30 \sqrt { x } - 25\)

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Definitions:

Depressed Mood

A persistent feeling of sadness, hopelessness, or a lack of interest or pleasure in activities, characteristic of depression.

Major Depressive Disorder

A mood disorder featuring major depressive episodes (episodes of depressed mood or loss of pleasure in life that lasts at least 2 weeks).

Pleasure

A broad class of mental states that humans and other animals experience as positive, enjoyable, or worth seeking.

2 Weeks

A time period equivalent to fourteen days.