Multiply Using the Rule for the Product of the Sum $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

question 36

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

• A) \(8 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }\)
• B) \(16 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }\)
• C) \(8 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }\)
• D) \(16 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }\)

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Definitions:

Compounded Monthly

The process of adding interest to the principal sum of a loan or deposit, where the interest is calculated on a monthly basis.

Early Withdrawal Penalty

A charge applied for taking money out of a financial account or investment before a set date or term has ended.

Spreadsheet

A digital document that uses rows and columns to organize data, calculations, and information, commonly used in accounting and financial analysis.

Multiplier

A factor used in economics to quantify the effect of investment spending on the aggregate income or output of an economy.