Use the Binomial Theorem to Expand the Expression $( x + 3 y ) ^ { 4 }$

question 7

Multiple Choice

Use the Binomial Theorem to expand the expression $( x + 3 y ) ^ { 4 }$ .

• A) \(x ^ { 4 } + 12 x ^ { 3 } y + 54 x ^ { 2 } y ^ { 2 } + 108 x y ^ { 3 } + 81 y ^ { 4 }\)
• B) \(x ^ { 4 } + 3 x ^ { 3 } y + 9 x ^ { 2 } y ^ { 2 } + 27 x y ^ { 3 } + 81 y ^ { 4 }\)
• C) \(x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }\)
• D) \(x ^ { 4 } + 81 y ^ { 4 }\)
• E) \(x ^ { 4 } + 15 x ^ { 3 } y + 90 x ^ { 2 } y ^ { 2 } + 135 x y ^ { 3 } + 81 y ^ { 4 }\)

Grasp the concept of schizophrenia, including its symptoms, causes, and the socioeconomic factors influencing it.

Identify the types of hallucinations and delusions associated with schizophrenia.

Explain the positive and negative symptoms of schizophrenia and their impact on patients.

Understand the neurological underpinnings of schizophrenia symptoms, including auditory hallucinations.

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Definitions:

Break-even Sales

The amount of revenue required to cover total fixed and variable costs, at which point a business neither makes a profit nor incurs a loss.

Sales Units

The quantity of product sold, often used as a measure in assessing sales performance and operational efficiency.

Fixed Expenses

Costs that do not change with the level of production or sales over the short term, such as rent, salaries, and insurance.

Break-even Point

The break-even point is the sales level at which total revenues equal total costs, resulting in neither profit nor loss.