Write the Expression as a Single Term, Factored Completely $$5 \sqrt { 4 x ^ { 2 } + 1 } + \frac { 20 x } { \sqrt { 4 x ^ { 2 } + 1 } }$$

question 134

Multiple Choice

Write the expression as a single term, factored completely. Do not rationalize the denominator.
- $$5 \sqrt { 4 x ^ { 2 } + 1 } + \frac { 20 x } { \sqrt { 4 x ^ { 2 } + 1 } }$$

• A) \(\frac { 5 \left( 4 x ^ { 2 } + 4 x + 1 \right) } { \sqrt { 4 x ^ { 2 } + 1 } }\)
• B) \(\frac { 20 x ^ { 2 } + 20 x + 1 } { 5 x + 1 }\)
• C) \(\frac { 20 x ^ { 2 } + 20 x + 1 } { \sqrt { 4 x ^ { 2 } + 1 } }\)
• D) \(\frac { 5 \left( 4 x ^ { 2 } + 4 x + 1 \right) } { 5 x + 1 }\)

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Definitions:

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A severe form of hypothyroidism characterized by extreme thyroid hormone deficiency, leading to symptoms such as cold intolerance, fatigue, weight gain, and skin thickening.

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An autoimmune disorder that results in overactivity of the thyroid gland, causing hyperthyroidism.

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The abnormal size, number, or consistency of lymph nodes, often indicating infection, autoimmune disease, or malignancy.