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Ask by Adkins Hammond. in South Africa
Feb 25,2025

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The answer is 4021.

Solución

To solve 2011² - 2010², we can use the difference of squares formula:
a² - b² = (a - b)(a + b)
Let a = 2011 and b = 2010, then:
2011² - 2010² = (2011 - 2010)(2011 + 2010)
Calculate the two parts:
2011 - 2010 = 1
  2011 + 2010 = 4021
Now multiply them:
1 × 4021 = 4021
So, the answer is 4021.

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Bonus Knowledge

To solve , we can use the difference of squares formula, which states that .
Here, let and . Thus, we have:
Calculating :
Calculating :
Now substitute these values back into the formula:
So, the final answer is .

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