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Find the sum of the digits of 777,777,777,777^2 - 222,222,222,223^2.

 

Thank you in advance

 

smiley

 May 9, 2021
 #1
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Find the sum of the digits of
\(777,777,777,777^2 - 222,222,222,223^2\).

 

Formula: \(a^2-b^2 = (a-b)*(a+b)\)

 

\(\begin{array}{|rcll|} \hline && \mathbf{ 777,777,777,777^2 - 222,222,222,223^2 } \\ &=& (777,777,777,777 - 222,222,222,223)*(777,777,777,777 + 222,222,222,223) \\ &=& 555,555,555,554*1,000,000,000,000\\ &=& \mathbf{555,555,555,554,000,000,000,000 }\\ \hline \end{array}\)

 

laugh

 May 9, 2021

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