Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Welch Jimenez. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
Solution
To find the value of \( 2011^2 - 2010^2 \), we can use the difference of squares formula:
\[
a^2 - b^2 = (a + b)(a - b)
\]
Let's apply this formula with \( a = 2011 \) and \( b = 2010 \):
\[
2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
\]
Calculate the sums and differences inside the parentheses:
\[
2011 + 2010 = 4021
\]
\[
2011 - 2010 = 1
\]
Now, multiply these results:
\[
4021 \times 1 = 4021
\]
**Answer:** \( 2011^2 - 2010^2 = 4021 \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve \( 2011^2 - 2010^2 \), you can use the difference of squares formula, which states that \( a^2 - b^2 = (a - b)(a + b) \). Here, let \( a = 2011 \) and \( b = 2010 \). So, we calculate: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = (1)(4021) = 4021. \] Thus, \( 2011^2 - 2010^2 = 4021 \).
