55 square without actual multiplication
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as last digit is 5 and tens digit is 5 so add 1to the tens digit 5 it becomes 6 now multiply 5 by 6 it is 30 and square of 5 =25
So,55^2=3025
otherwise use the identity (a+b)^2=a^2+2ab+b^2
where a=50 and b=5
so, (50+5)^2=50^2+2×50×5+5^2
=2500+500+25
=3025
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