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Aptitude - Simplification
While simplifying an expression, the VBODMAS must be learnt as V,B,O,D,M,A,S where every alphabet have a special stand which are as follows:
We should follow the order strictly.
Modulus of a real number x is a positive value.Its modulus is denoted by |x|. Thus , |5 |= 5 and |-5| =5.
(a+b)2 =(a2+b2+2ab) (a-b)2 = (a2+b2-2ab) (a+b)2-(a-b)2 = 4ab (a+b)2+(a-b)2 = 2 (a2+b2) (a+b)(a-b) = (a2-b2) (a+b+c)2 = (a2+b2+c2)+2(ab+bc+ca ) (a+b)3 = a3+b3+3ab(a+b) (a-b)3 = a3-b3-3ab (a-b) (a3+b3) = (a+b)(a2+b2-ab) (a3-b3 ) = (a-b)(a2+b2+ab)