Question

use the distributive property to write an expression that is equivalent to $5(3 + x)$. $5(3 + x)=15 +$? options: $x$, $5x$, $1$, $5$

Explanation:

Step1: Recall distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(5(3 + x)\), we apply this property.

Step2: Apply distributive property

Using \(a = 5\), \(b=3\), and \(c = x\) in \(a(b + c)=ab+ac\), we get \(5\times3+5\times x\).
Calculating \(5\times3 = 15\) and \(5\times x=5x\), so \(5(3 + x)=15 + 5x\).

Answer:

\(5x\)