Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer: Distributive Property
Explanation:
The distributive property is [tex]a(b+c) = ab+ac[/tex]
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.
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\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}[/tex]
[tex]\large\textsf{3(x + 2)}\\\large\textsf{= 3(x) + 3(2)}\\\large\textsf{= 3x + 6}[/tex]
[tex]\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.}[/tex]
[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
