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Let us take 'ab' as the two digit number:
So, (ab)^2=(a^2)(b^2) +20*a*b
For example let us square36:
Answer is (3^2)(6^2)+20*3*6=936+360=1296
Similarly for69
Answer is (6^2)(9^2)+20*6*9=3681+1080=4761
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