Use Pascal's Triangle to Expand the Binomial $( p + q ) ^ { 5 }$

question 163

Multiple Choice

Use Pascal's triangle to expand the binomial.
- $( p + q ) ^ { 5 }$

• A) \(\mathrm { p } ^ { 5 } + \mathrm { p } ^ { 4 } \mathrm { q } + \mathrm { p } ^ { 3 } \mathrm { q } ^ { 2 } + \mathrm { p } ^ { 2 } \mathrm { q } ^ { 3 } + \mathrm { pq } + \mathrm { q } ^ { 5 }\)
• B) \(\mathrm { p } ^ { 5 } + 5 \mathrm { p } ^ { 4 } \mathrm { q } + 10 \mathrm { p } ^ { 3 } \mathrm { q } ^ { 2 } + 10 \mathrm { p } ^ { 2 } \mathrm { q } ^ { 3 } + 5 \mathrm { pq } \mathrm { q } ^ { 4 } + \mathrm { q } ^ { 5 }\)
• C) \(\mathrm { p } ^ { 5 } + 6 \mathrm { p } ^ { 4 } \mathrm { q } + 15 \mathrm { p } ^ { 3 } \mathrm { q } ^ { 2 } + 20 \mathrm { p } ^ { 3 } \mathrm { q } ^ { 3 } + 15 \mathrm { p } ^ { 2 } \mathrm { q } ^ { 3 } + 6 p \mathrm { q } ^ { 4 } + \mathrm { q } ^ { 5 }\)
• D) \(p ^ { 5 } + q ^ { 5 }\)

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Definitions:

Parent-Company Extension Method

An accounting method where the financial statements of the parent company include its investments in subsidiaries without consolidating their individual financial statements.

IFRS 3

An International Financial Reporting Standard that outlines the accounting requirements for business combinations.

Entity Method

A consolidation method wherein investments in subsidiaries are reported at cost and income from the investment is recognized to the extent of dividends received.

Subsidiary

A company that is controlled by another company, typically through ownership of more than half of its voting stock.