Question

Example of which mathematical property is 3(x+2)as 3x+6 an example of

Answer 1

Answer: Distributive Property

Step-by-step explanation:

The distributive property is
`a(b+c) = ab+ac`

We multiply the outer term 'a' by each term inside the parenthesis.

In the example of 3(x+2), we multiply the outer term 3 with each term inside the parenthesis.

• 3 times x = 3x
• 3 times 2 = 6

That's how we go from 3(x+2) to 3x+6

Another way to think of it is to think of 3(x+2) as three copies of (x+2) being added. So,

(x+2)+(x+2)+(x+2) = (x+x+x) + (2+2+2) = 3x+6

The distribution rule is the shortcut of repeated addition like this.

Answer 2

`\huge\text{\bf Hey there!}`

`\large\textsf{FORMULAS for you to follow}\\\\\large\text{Associative Property}\\\large\textsf{(a + b) + c = a + (b + c)}\\\\\large\text{Cummutative Property}\\\large\textsf{a + b = b + a}\\\\\large\text{Additive Identity Property}\\\large\textsf{a + 0 = 0 + a = a}\\\\\large\text{Distributive Property}\\\large\textsf{a(b + c) = a(b) + a(c) = ab + ac}`

`\large\textsf{3(x + 2)}\\\large\textsf{= 3(x) + 3(2)}\\\large\textsf{= 3x + 6}`

`\huge\text{Thus, your answer is: \boxed{\textsf{Distributive Property}}}\huge\checkmark\\\\\large\text{Reason: because you're basically DISTRIBUTING 3 within the}\\\large\text{parentheses.}`

`\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}`

~
`\frak{Amphitrite1040:)}`