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:

1. Virnaculum

2. Bracket

3. Of

4. Division

5. Multiplication

6. Addition

7. Subtraction

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.

Important Formulaes

(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)

Solved Examples