Question
\[ \text{احسب } 2011^2 - 2010^2 \text{؟} \]
Ask by Campos Bradley. in Uganda
Mar 11,2025
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Answer
\( 2011^2 - 2010^2 = 4021 \)
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لإجراء عملية الحساب \( 2011^2 - 2010^2 \) يمكننا استخدام صيغة الفرق بين مربعين التي تنص على أن: \[ a^2 - b^2 = (a - b)(a + b) \] هنا، إذا اعتبرنا \( a = 2011 \) و \( b = 2010 \): \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] دعونا نحسب ذلك: \[ 2011 - 2010 = 1 \] و \[ 2011 + 2010 = 4021 \] لذا: \[ 2011^2 - 2010^2 = 1 \times 4021 = 4021 \] لذا، الجواب هو 4021.
