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

To use the distributive property, you need to multiply each term inside the parentheses by 5. The expression is:

\[
5(2r + 10s - 6)
\]

Now distribute the 5 to each term:

1. \( 5 \times 2r = 10r \)
2. \( 5 \times 10s = 50s \)
3. \( 5 \times -6 = -30 \)

So, the equivalent expression is:

\[
10r + 50s - 30
\]

Would you like any more details or have any questions?

Here are 5 related questions:
1. What is the distributive property in mathematics?
2. Can you apply the distributive property to an equation with fractions?
3. How would you factor out the common factor in the expression \( 10r + 50s - 30 \)?
4. How does the distributive property relate to combining like terms?
5. What happens when there is a negative sign outside the parentheses?

**Tip:** When using the distributive property, always ensure every term inside the parentheses is multiplied by the factor outside to avoid errors.

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

Learn how to apply the distributive property to simplify the expression 5(2r + 10s - 6). This step-by-step solution breaks down the process of distributing the factor 5 to each term inside the parentheses, resulting in the equivalent expression 10r + 50s - 30. Suitable for Grades 6-8 students studying algebra.

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