Translate and simplify: the product of  
−
29
  and the difference of  
r
  and  
s
 .

The phrase "the product of -29 and the difference of r and s" can be translated into a mathematical expression as follows:

\[
-29 \times (r - s)
\]

Since there's nothing to simplify further, this expression remains:

\[
-29(r - s)
\]

This is the simplified form of the expression.

Would you like to explore further details or ask any questions?

Here are five related questions:
1. What is the result of substituting specific values for \( r \) and \( s \) in the expression?
2. How would the expression change if we reversed \( r \) and \( s \)?
3. What happens to the product if \( r = s \)?
4. How can we apply the distributive property to expand this expression?
5. Can this expression be graphed on a coordinate plane for various values of \( r \) and \( s \)?

**Tip**: When multiplying a number by a binomial (like \( r - s \)), always apply the distributive property if needed.

Translate and simplify: the product of -29 and the difference of r and s.

Explore how to translate and simplify the expression involving the product of -29 and the difference of r and s. This step-by-step guide covers algebraic concepts such as products, differences, and the distributive property. Suitable for students in Grades 6-8.

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