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### Topics of Advanced Maths with Questions:-

• Algebra
• Trigonometry
• Height & Distance
• Geometry
• Mensuration
• Coordinate Geometry

## Important Formulas & Identities

1. (a + b)^2 = a^2 + 2ab + b^2
2. (a — b)^2 = a^2 — 2ab + b^2
3. (a + b)^2 + (a — b)^2 = 2(a^2 + b^2)
4. (a + b)^2 — (a — b)^2 = 4ab
5. a2 — b2 = (a + b) (a — b)
6. (a + b)^3 = a^3 + b^3 + 3ab(a + b)
7. (a — b)^3 = a^3 b^3 3ab(a —b)
8. a^3+ b^3= (a + b)(a^2 + b^2 — ab)
9. a^3 — b^3 = (a — b)(a^2 + b^2 + ab)
10. (a + b + c)^2 = a^2 + b^2 + C^2 ± 2(ab + bc +ca)
11. a^2+ b^2 + c^2 + ab + be + ca = 1 /2[(a + b)^2 (b + c)^2 (c + a)^2]
12. a^2+ b^2+ c^2—ab—bc —ca = 1/2[(a — b)^2 + (b — c)^2 + (c — a)^2]
13. (a + b)^3 + (a — b)^3 = 2(a^3 + 3ab^2) = 2a(a^2 + 3b^2)
14. (a + b)^3 — (a — b)^3 = 2b^3+ 3a^2b)= 2b(3a^2+ b^2)
15. (a + b)^4 = a^4 + 4a^3 b + 6a^2 b^2 + 4ab^3 + b^4
16. (a — b)4 = a^4 — 4a^3 b + 6a^2 b^2 — 4ab^3+ b4
17. a^4—b^4= (a^2— b^2)(a^2+ b^2)

### SSC Lakshya 200 Advance Maths by Mohit Goyal Advanced Maths Formula PDF Book contains all important formulas along with examples related to it for practice. You can read and memerise the Formulas and Practice it by applying in the questions to expertise in it.

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