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Some Basic Formula In Number System

these are some basic formula of algebra and number system by which we can solve complex equations. i. e finding square or cube of numbers near multiple of 10, 100 etc.(a+b)2 = a2+b2+2ab2.  (a-b)2 = a2+b2- 2ab3.  (a+b)2 - (a-b)2 = 4ab4.  (a+b)2 + (a-b)2 = 2(a2 + b2)

Anu Jain
updated: 23 May 2022

Some Basic Formulas

1.  (a+b)2 = a2+b2+2ab
2.  (a-b)2 = a2+b2- 2ab
3.  (a+b)2 - (a-b)2 = 4ab
4.  (a+b)2 + (a-b)2 = 2(a2 + b2)
5.  (a2 -b2) = (a+b)(a-b)
6.  (a+b+c)2 = a2 +b2+c2+2(ab+bc+ca)
7.  (a3+b3) = (a+b)(a2-ab+b2)
8.  (a3- b3) = (a-b)(a2+ab+b2)
9.  (a3- b3) = (a-b)(a2+ab+b2)
10. (a3+b3+c3 -3abc) = (a+b+c)(a2+b2+c2-ab-bc-ca)
11. If a+b+c=0, then a3+b3+c3 = 3abc.


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