ALGEBRA FORMULAS BANKING AND SSC

ALGEBRA FORMULAS

(a+b)² = (a² +b² +2ab)

(a-b)² = (a² + b² – 2ab)

(a+b)² + (a-b)² = 2 (a² + b²)

(a+b)² – (a-b)² = 4ab

(a²-b²) = (a+b) (a-b)

(a+b)³= a³ + b³ + 3ab (a+b)

(a-b)³ = a³ – b³ -3ab (a-b)

(a³+b³) = (a+b) (a²-ab+b²)

(a³-b³) = (a-b) (a²+ab+b²)

Arithmetic progression (A.P)

Series a, a+d, a+2d, a+3d,…….

First term = a

Difference = d

Then

nth term Tn = a + (n-1)d

sum of “n” term Sn = n/2 – (2a + (n-1)d)

sum of n term Sn = n/2 (a+L)

L = last term

Geometric progression (G.P)

a , ar, ar2,…….

First term = a

Difference = r

Then

nth term Tn = ar^n-1

sum of “n” terms Sn = a(rⁿ – 1 )/ (r – 1)

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