Which expression shows the result of applying the distributive property to 3(15x−17)?

Responses

−35x−37
negative 3 over 5 x minus 3 over 7

35x+37
3 over 5 x plus 3 over 7

35x−37
\3 over 5 x minus 3 over 7

−35x+37
negative 3 over 5 x plus 3 over 7

To apply the distributive property to the expression \( 3(15x - 17) \), you need to multiply both terms inside the parentheses by 3:

\[
3 \cdot (15x - 17) = 3 \cdot 15x - 3 \cdot 17 = 45x - 51
\]

So, the correct expression after applying the distributive property is \( 45x - 51 \). None of the given response options match this result exactly, but here's the breakdown of how to handle it.

### Need help with details or clarification?

Here are 5 related questions you might find useful:
1. How is the distributive property applied to an expression with fractions?
2. What happens when you distribute a negative number across parentheses?
3. Can you simplify an expression after applying the distributive property?
4. How do you apply the distributive property when there are more than two terms inside the parentheses?
5. How does the distributive property work with variables in both terms inside parentheses?

**Tip**: Always check for common factors after distributing to see if further simplification is possible!

Which expression shows the result of applying the distributive property to 3(15x−17)?

Learn how to apply the distributive property to the expression 3(15x - 17). This problem covers key algebraic concepts such as distributing multiplication over subtraction, with a step-by-step breakdown. Suitable for students in Grades 6-8.

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