Question
Ask by Murray Cole. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is 4021.
Solution
We can use the difference of squares formula, which states that for any numbers a and b:
a² - b² = (a - b)(a + b)
In this problem, a = 2011 and b = 2010. So we have:
2011² - 2010² = (2011 - 2010)(2011 + 2010)
= (1)(4021)
= 4021
= (1)(4021)
= 4021
Thus, the final answer is 4021.
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So, we have:
Thus, the answer is
Now, let’s explore some additional knowledge!
Think of the difference of squares like a cool math trick! When you encounter the subtraction of squares, just remember this handy formula is like a secret weapon. It not only saves time but also keeps calculations fun and quick!
If you’re ever unsure about the concepts, grab a book on algebra or look up some online resources. There are plenty of websites and videos that explain the difference of squares, showing you both simple examples and more complex ones, making it a delightful journey through mathematics!
