Find the Product $$( x y - 7 ) \left( x ^ { 2 } y ^ { 2 } + 2 x y + 6 \right)$$

question 123

Multiple Choice

Find the product. Assume all variable exponents represent whole numbers.
- $$( x y - 7 ) \left( x ^ { 2 } y ^ { 2 } + 2 x y + 6 \right)$$

• A) \(x ^ { 3 } y ^ { 3 } + 2 x ^ { 2 } y ^ { 2 } + 6 x y\)
• B) \(x ^ { 3 } y ^ { 3 } + 9 x ^ { 2 } y ^ { 2 } + 20 x y + 42\)
• C) \(7 x ^ { 3 } y ^ { 3 } - 14 x ^ { 2 } y ^ { 2 } - 42 x y\)
• D) \(x ^ { 3 } y ^ { 3 } - 5 x ^ { 2 } y ^ { 2 } - 8 x y - 42\)

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Definitions:

Debt-to-Equity Ratio

A measure indicating how a company's assets are financed through a mix of debt and equity from shareholders.

Balance Sheet

A report detailing a company's assets, liabilities, and equity of shareholders at a particular moment.

Interest Expense

The cost incurred by an entity for borrowed funds, which is recognized in the financial statements as an expense.

Times Interest Earned Ratio

A financial metric that measures a company's ability to cover its interest expenses with its earnings before interest and taxes.