Some Important Algebric Formulae for SSC CGL 2018

Dear Aspirants,

We know that some of you are keen on knowing the algebric formulae for SSC CGL 2018 Examination. So, in the list below we have mentioned nearly 75% of all the Algebric formulae:

1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab
2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab
3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)
5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)
6. a2 − b2 = (a + b)(a − b)
7. a3 − b3 = (a − b)(a2 + ab + b2)
8. a3 + b3 = (a + b)(a2 − ab + b2)
9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)
10. an = a.a.a . . . n times
11. am.an = am+n
13. (am)n = amn = (an)m
14. (ab)n = an.bn
15. a0 = 1 where a ∈ R, a 6= 0
18. ap/q = √q ap
19. If am = an and a 6= ±1, a 6= 0 then m = n
20. If an = bn where n 6= 0, then a = ±b
21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y
22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y
29. if a + ib = 0 where i = √−1, then a = b = 0
30. if a + ib = x + iy, where i = √−1, then a = x and b = y
32. The roots are real and distinct if ∆ > 0.
33. The roots are real and coincident if ∆ = 0.
34. The roots are non-real if ∆ < 0.
35. If α and β are the roots of the equation ax2 + bx + c = 0, a 6= 0 then
i) α + β = −b
a = − coeff. of x
coeff. of x2
ii) α · β = c
a = constant term
coeff. of x2
36. The quadratic equation whose roots are α and β is (x − α)(x − β)=0
i.e. x2 − (α + β)x + αβ = 0
i.e. x2 − Sx + P = 0 where S =Sum of the roots and P =Product of the
roots.

We hope that all the above formulae will help you to a great extent in appearing for the examination in SSC CGL Examination 2018.

 

All the Best!!

Avision

Howrah, Liluah & Kolkata



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