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use the distributive property to remove the parentheses. (u - 11)7

Question

use the distributive property to remove the parentheses. (u - 11)7

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b + c)=ab+ac\) (or \(a(b - c)=ab - ac\)). Here, we have \((u - 11)7\), which can be rewritten as \(7(u - 11)\) (multiplication is commutative, so \( (u - 11)7=7(u - 11)\)).

Step2: Apply the distributive property

Using the distributive property \(a(b - c)=ab - ac\) with \(a = 7\), \(b=u\), and \(c = 11\), we get:
\(7\times u-7\times11\)

Step3: Simplify the products

Simplify \(7\times u\) to \(7u\) and \(7\times11\) to \(77\). So the expression becomes \(7u-77\).

Answer:

\(7u - 77\)