Question

use the distributive property to multiply. 3x(x+5)

Explanation:

Step1: Apply Distributive Property

The distributive property states that \(a(b + c)=ab+ac\). For \(3x(x + 5)\), we distribute \(3x\) to both \(x\) and \(5\).
So, \(3x\times x+3x\times5\)

Step2: Simplify Each Term

• For \(3x\times x\), using the rule \(x^m\times x^n = x^{m + n}\), we have \(3x^{1+1}=3x^{2}\).
• For \(3x\times5\), we get \(15x\).

Combining these terms, we have \(3x^{2}+15x\).

Answer:

\(3x^{2}+15x\)