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Complete this expression using the distributive property:
[tex]\[
\begin{array}{l}
5(4 + 8) = \\
5(4) + 5(8)
\end{array}
\][/tex]

Sagot :

GinnyAnswer
Sure, let's complete this expression using the distributive property and provide a step-by-step explanation:

The distributive property states that [tex]\( a(b+c) = ab + ac \)[/tex]. That means you multiply the term outside the parentheses by each term inside the parentheses individually.

Given expression:
[tex]\[ 5(4+8) \][/tex]

We apply the distributive property:
[tex]\[ 5(4+8) = 5 \cdot 4 + 5 \cdot 8 \][/tex]

Breaking it down:
1. Multiply 5 by 4:
[tex]\[ 5 \cdot 4 = 20 \][/tex]
2. Multiply 5 by 8:
[tex]\[ 5 \cdot 8 = 40 \][/tex]

So, the expression using the distributive property becomes:
[tex]\[ 5(4+8) = 5 \cdot 4 + 5 \cdot 8 \][/tex]
Which simplifies to:
[tex]\[ 20 + 40 \][/tex]

Therefore, the completed expression using the distributive property is:
[tex]\[ 5(4+8) = 20 + 40 \][/tex]

In summary, applying the distributive property to [tex]\( 5(4+8) \)[/tex] results in [tex]\( 20 + 40 \)[/tex].
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