Question

use the distributive property to expand the linear expression.
3(4x + 3)
a 3/4
b 12x + 6
c 12x + 9
d -3/4

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = 3\), \(b=4x\), \(c = 3\).

Step2: Apply distributive property

Multiply 3 with \(4x\) and 3 with 3:
\(3\times4x+3\times3 = 12x + 9\)

Answer:

C. \(12x + 9\)