Question

question
choose the answer choice which best describes the expression below.
16c(10 - 9c)

answer

• the difference of two terms
• the product of two factors
• the quotient of two quantities
• the sum of two terms

Explanation:

Step1: Analyze the expression structure

The expression is \(16c(10 - 9c)\). In mathematics, when we have a number (or an algebraic term) multiplied by another expression (which can be a sum, difference, etc.), it represents a product. Here, \(16c\) is one factor and \((10 - 9c)\) is another factor. The operation between them is multiplication, so it's the product of two factors.

Step2: Eliminate other options

• "The difference of two terms" would be in the form of \(a - b\), but our expression is a product, not a difference of two terms directly.
• "The quotient of two quantities" is in the form of \(\frac{a}{b}\), which is not the case here.
• "The sum of two terms" is in the form of \(a + b\), and our expression is a product, not a sum.

Answer:

The product of two factors