Multiply the Polynomials by Using the Distributive Property $$( m + 9 n ) \left( m ^ { 2 } + 8 m n - 2 n ^ { 2 } \right)$$

question 18

Multiple Choice

Multiply the polynomials by using the distributive property. $$( m + 9 n ) \left( m ^ { 2 } + 8 m n - 2 n ^ { 2 } \right)$$

• A) \(m ^ { 3 } + 87 m ^ { 2 } n ^ { 2 } - 18 n ^ { 3 }\)
• B) \(m ^ { 3 } + 17 m ^ { 2 } n + 70 m n ^ { 2 } - 18 n ^ { 3 }\)
• C) \(m ^ { 3 } + 9 m n + 70 m n ^ { 2 } - 18 n ^ { 3 }\)
• D) \(m ^ { 3 } + 9 n + 8 m n - 18 n ^ { 3 }\)

---

Definitions:

Club Membership

Club membership describes an individual's subscription or affiliation with a private group that offers access to exclusive resources or activities.

Price of Y

The market value or cost assigned to good Y, influenced by factors like supply, demand, and market conditions.

Discount

A reduction from the full price or standard cost of a good or service, often used to stimulate sales or clear inventory.

Equivalent Variation

An economic concept measuring the change in income needed to reach an individual's utility level before a price change, holding prices constant.