Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Rose King. in Thailand
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
4021
Solution
เราสามารถหาคำตอบได้โดยใช้สูตรของผลต่างของกำลังสองดังนี้
a² - b² = (a - b)(a + b)
โดยที่ a = 2011 และ b = 2010 ดังนั้น
2011² - 2010² = (2011 - 2010)(2011 + 2010)
= (1)(4021)
= 4021
ดังนั้น คำตอบคือ 4021
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Simplify this solution The Deep Dive
To find \( 2011^2 - 2010^2 \), you can use the difference of squares formula, which states that \( a^2 - b^2 = (a-b)(a+b) \). Here, let \( a = 2011 \) and \( b = 2010 \). Thus, \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \cdot (2011 + 2010) = 1 \cdot 4021 = 4021. \] So, \( 2011^2 - 2010^2 = 4021 \).
