Wednesday, January 7, 2009

Easy way to square a number if you know another one

Let say you know 12 squared but you want to figure out 14 squared.  This way I will show is more complex looking but uses simple math.  Here is the formula: y(2)=y squared
y(2)=(y+x)(y-x) + x(2)

Here are some examples:

7(2)=(7+5)(7-5)+5(2)
7(2)=(12)(2)+25
7(2)=24+25
7(2)=49

14(2)=(14+12)(14-12) + 12(2)
14(2)=(26)(2)+144
14(2)=52+144
14(2)=196

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