Use the distributive property to write an equivalent expression.
5, left parenthesis, 2, r, plus, 10, s, minus, 6, right parenthesis
5(2r+10s−6)

To use the distributive property, you multiply each term inside the parentheses by the number outside the parentheses.

Given the expression:  
\[ 5(2r + 10s - 6) \]

Apply the distributive property:
1. Multiply \( 5 \) by \( 2r \):  
   \( 5 \times 2r = 10r \)
2. Multiply \( 5 \) by \( 10s \):  
   \( 5 \times 10s = 50s \)
3. Multiply \( 5 \) by \( -6 \):  
   \( 5 \times -6 = -30 \)

So, the equivalent expression is:  
\[ 10r + 50s - 30 \]

Would you like details on the distributive property, or do you have any questions?

Here are 5 related questions:
1. How do you apply the distributive property with variables and constants?
2. Can you combine like terms after distributing?
3. What happens if you distribute a negative number?
4. How does the distributive property work with fractions?
5. Can the distributive property be used in reverse (factoring)?

**Tip:** Always distribute the sign of the number (positive or negative) when applying the distributive property.

Use the distributive property to write an equivalent expression: 5(2r + 10s - 6)

Learn how to apply the distributive property in algebra to simplify expressions. This problem involves distributing 5 across terms with variables and constants, resulting in the equivalent expression 10r + 50s - 30. Suitable for students in Grades 6-8.

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