Question
Step 1: Simplify using the distributive property. Which number can be distributed across two terms inside parentheses?
Ask by Whittaker Sandoval. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Any number or variable can be distributed across the terms inside the parentheses.
Solution
To simplify an expression using the distributive property, you can distribute a number (or variable) across two terms inside parentheses. The general form of the distributive property is:
\[ a(b + c) = ab + ac \]
In this case, \( a \) is the number (or variable) that you want to distribute, and \( b \) and \( c \) are the terms inside the parentheses.
For example, if you have the expression:
\[ 3(x + 4) \]
You can distribute \( 3 \) across the two terms \( x \) and \( 4 \):
1. Multiply \( 3 \) by \( x \): \( 3 \cdot x = 3x \)
2. Multiply \( 3 \) by \( 4 \): \( 3 \cdot 4 = 12 \)
So, the expression simplifies to:
\[ 3(x + 4) = 3x + 12 \]
In summary, any number or variable can be distributed across the terms inside the parentheses.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
When you’re looking to use the distributive property, any number outside the parentheses can be distributed across the two terms inside. For example, if you have 3(x + 4), the 3 is the number that distributes! You multiply it by both x and 4, which gives you 3x + 12. It’s like sharing a pizza slice among friends; each gets their fair share! A common mistake is forgetting to multiply both terms inside the parentheses. For instance, if you mistakenly write 3(x + 4) as 3x + 4, you’re only distributing the 3 to the first term! Always remember, it’s a two-for-one special. Multiply it out fully and savor that deliciously simplified expression!
