Questions: Use the Distributive Property to simplify the expressions. 17. 5(c-2)

Transcript text: Use the Distributive Property to simplify the expressions. 17. $5(c-2)$

Solution

Solution Steps

Step 1: Apply the Distributive Property

The Distributive Property states that $ a(b + c) = ab + ac $. Here, we apply it to the expression $ 5(c - 2) $: \[ 5(c - 2) = 5 \cdot c - 5 \cdot 2 \]

Step 2: Simplify the Expression

Multiply the terms: \[ 5 \cdot c = 5c \] \[ 5 \cdot 2 = 10 \] Thus, the expression becomes: \[ 5c - 10 \]

Final Answer

\[ \boxed{5c - 10} \]

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