Question
\[ \text{احسب } 2011^2 - 2010^2 \text{؟} \]
Ask by Gibson Mckenzie. in Morocco
Mar 13,2025
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Answer
\( 2011^2 - 2010^2 = 4021 \)
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The Deep Dive
يمكنك استخدام صيغة الفرق بين مربعين، والتي تنص على أن \( a^2 - b^2 = (a - b)(a + b) \). هنا، \( a = 2011 \) و \( b = 2010 \). إذن، لدينا: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \cdot 4021 = 4021. \] إذاً الناتج هو \( 4021 \).
