Q. Use the distributive property to write an equivalent expression.3(5v−8w+10)Answer:
Apply Distributive Property: Apply the distributive property to the first term inside the parentheses.The distributive property states that a(b+c)=ab+ac. In this case, we will multiply 3 by the first term inside the parentheses, which is 5v.Calculation: 3×5v=15v
Calculate First Term: Apply the distributive property to the second term inside the parentheses.Now, we will multiply 3 by the second term inside the parentheses, which is −8w.Calculation: 3×(−8w)=−24w
Calculate Second Term: Apply the distributive property to the third term inside the parentheses.Finally, we will multiply 3 by the third term inside the parentheses, which is 10.Calculation: 3×10=30
Calculate Third Term: Combine the results from steps 1, 2, and 3 to write the equivalent expression.We combine the products from each term to get the final expression.Equivalent Expression: 15v−24w+30