Question
2011^2 - 2010^2=
Ask by Peters Colon.
Mar 22,2025 16:08
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To solve \( 2011^2 - 2010^2 \), we can utilize the difference of squares formula, which states that \( a^2 - b^2 = (a-b)(a+b) \).
Here, let \( a = 2011 \) and \( b = 2010 \). Thus, we have:
\[
2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010)
\]
Calculating the expressions in the parentheses:
\[
2011 - 2010 = 1
\]
\[
2011 + 2010 = 4021
\]
Now, substituting these values back into our equation:
\[
2011^2 - 2010^2 = 1 \times 4021 = 4021
\]
So, the answer is:
\[
\boxed{4021}
\]
Related Questions
If this speedometer is graduated in kilometers per hour (kph), what is it reading now in miles per hour (mph)? There are 1.6 kilometers in a mile. What is the speedometer reading in mph if its current in kph?
Algebra
Aug 07, 2026
7. Resuelvo las siguientes ecuaciones de segundo grado, factorizadas y fracciones algobraicas. a) x^{2} - x/2 = 1/3 - 2x/3 b) x^{2}/2-3x/5 = 1/5-x/6 c) 6(x+2)^{2} = 13(x+1)(x+2) d) (2x+1)(x+1) = 5(x+1) e)(4x^{2}-1)(x-5) = 0 f) x/(x+2) = 1/2(x-1)
Algebra
Mar 25, 2025
Find the equation (in terms of x) of the line through the points (-2,4) and (4,-14). y=
Algebra
Mar 24, 2025
Simplity by combining like terms: 6(x+2y)+4
Algebra
Mar 28, 2025
