QQuestionMathematics
QuestionMathematics
Which expression is equivalent to (st)(6)?
A. 6st
B. s+t+ 6
C. 6s+t
D. s(t+ 6)
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Understand the expression (st)(6)
- This means we are multiplying the product of s and t by 6 - The order of multiplication doesn't matter, so we can rearrange the terms
Step 3:: Distribute the 6 to the product st
6(st) = (6)(st)
Step 4:: Rearrange the multiplication
6(st) = 6s \cdot t
Step 5:: Simplify the expression
6s \cdot t = 6st
Step 6:: Compare with the given options
- Option A is 6st ✓ - Option B is s+t+ 6 ✗ - Option C is 6s+t ✗ - Option D is s(t+ 6) ✗
Final Answer
Key Insight: When multiplying a product by a number, you can distribute the number to each term in the product. In this case, 6(st) = 6s · t = 6st.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students