Module ·
Chapter 8: Algebra & Identities
Algebra
5 topics
What this chapter covers
The 5 topics below make up Algebra & Identities in the SSC CGL exam. Click any topic to open its notes, examples and practice test.
1Algebraic Identities
2Linear Equations
3Quadratic Equations
4Componendo & Dividendo
5Polynomials & Factorisation
Study material & tests
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Formula Reference Sheet
This chapter
Identities
| Square of sum | (a + b)^2 = a^2 + 2ab + b^2 |
|---|---|
| Difference of squares | a^2 - b^2 = (a + b)(a - b) |
| Cube of sum | (a + b)^3 = a^3 + b^3 + 3ab(a + b) |
| Sum/diff of cubes | a^3 +/- b^3 = (a +/- b)(a^2 -/+ ab + b^2) |
| Three-term | a^3 + b^3 + c^3 - 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) |
x + 1/x family
| Square | x^2 + 1/x^2 = (x + 1/x)^2 - 2 |
|---|---|
| Cube | x^3 + 1/x^3 = (x + 1/x)^3 - 3(x + 1/x) |
| Quadratic roots | x = (-b +/- root(b^2 - 4ac)) / 2a |
SSC reference
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