At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Question 4 of 25

Evaluate [tex]$2(4-1)^2$[/tex].

A. 60
B. 36
C. 18
D. 30


Sagot :

Let's solve the expression \(2(4-1)^2\) step by step:

1. Start with the expression inside the parentheses:
[tex]\[ 4 - 1 \][/tex]

2. Subtract 1 from 4:
[tex]\[ 4 - 1 = 3 \][/tex]

3. Now, take the result (3) and raise it to the power of 2:
[tex]\[ 3^2 \][/tex]

4. Calculate \(3^2\):
[tex]\[ 3^2 = 9 \][/tex]

5. Finally, multiply this result by 2:
[tex]\[ 2 \times 9 \][/tex]

6. Perform the multiplication:
[tex]\[ 2 \times 9 = 18 \][/tex]

Therefore, the value of \(2(4-1)^2\) is 18.

The correct answer is:
C. 18