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question use the distributive property to write an equivalent expressio…

Question

question use the distributive property to write an equivalent expression. 7(7r + 4s - 5) answer attempt 1 out of 2 submit answer

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c - d)=ab + ac - ad\). Here, \(a = 7\), \(b = 7r\), \(c = 4s\), and \(d = 5\). So we multiply 7 with each term inside the parentheses:
\(7\times7r+7\times4s - 7\times5\)

Step2: Calculate each product

Calculate \(7\times7r = 49r\), \(7\times4s=28s\), and \(7\times5 = 35\). So the expression becomes:
\(49r + 28s-35\)

Answer:

\(49r + 28s - 35\)