Question

Identify the mathematical properties Liam uses to justify each step

Answer 1

Given the following expression:

`\text{ 2x(x + 3) = 6x + 4}`

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

Step 1: Distributive Property

`\text{ 2x(x + 3) = 6x + 4}`
`\text{ (2x)(x)+ (2x)(3) = 6x + 4}`
`\text{ 2x}^2\text{ + 6x = 6x + 4}`

Step 2: Subtraction Property of Equality.

`\text{ 2x}^2\text{ + 6x = 6x + 4}`
`\text{ 2x}^2\text{ + 6x - 6x = 6x -6x + 4}`
`\text{ 2x}^2\text{ = 4}`

Step 3: Division Propert