Question

unit exam - algebraic language and expressions
simplify, using the distributive property.
enter the number that belongs in the green box.
x(12y + 2) = ?xy + \square x

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = x\), \(b = 12y\), \(c = 2\).

Step2: Apply distributive property

Applying \(x(12y + 2)=x\times12y+x\times2\).
Simplify each term: \(x\times12y = 12xy\) and \(x\times2=2x\). So the coefficients are 12 and 2.

Answer:

First box: 12, Second box: 2