Respuesta :

Given the following expression:

[tex]\text{ 2x(x + 3) = 6x + 4}[/tex]

Let's determine the mathematical properties being used as we simplify,

Step 1: Distributive Property

[tex]\text{ 2x(x + 3) = 6x + 4}[/tex][tex]\text{ (2x)(x)+ (2x)(3) = 6x + 4}[/tex][tex]\text{ 2x}^2\text{ + 6x = 6x + 4}[/tex]

Step 2: Subtraction Property of Equality.

[tex]\text{ 2x}^2\text{ + 6x = 6x + 4}[/tex][tex]\text{ 2x}^2\text{ + 6x - 6x = 6x -6x + 4}[/tex][tex]\text{ 2x}^2\text{ = 4}[/tex]

Step 3: Division Propert