Square of two digit number

Square of two digit number

I hope we all remember the square formula : \(\mathbf{(a + b)^{2} = a^{2} + b^{2}}\) + 2ab
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Example: \( 56^{2} \)
Step 1 :  Break the number such that a=5, and b=6
Step 2 :  Compute \( a^{2} \), ab and \( b^{2} \) and write as shown in the updated formula
Step 3 :   Notice the second row of the formula is obtained by just repeating the middle term ab of the first row.
If ab and \( b^{2} \) are more than 1 digit add the carry to left part leaving 1st digit in their places.

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