Asked by prethy
Determine the sum of the digits of
1) 777 777 777 777^2 - 222 222 222 223^2
1) 777 777 777 777^2 - 222 222 222 223^2
Answers
Answered by
MathMate
Factorize the difference of two squares:
777 777 777 777^2 - 222 222 222 223^2
=(777777777777+222222222223)*(777777777777-222222222223)
=1000000000000*555555555554
=555555555554000000000000
The sum of the digits
= 12*5-1
=59
777 777 777 777^2 - 222 222 222 223^2
=(777777777777+222222222223)*(777777777777-222222222223)
=1000000000000*555555555554
=555555555554000000000000
The sum of the digits
= 12*5-1
=59