Basic Formulas

Maths formulas Overview

Maths formulas are the building blocks for solving complex problems and unlocking the secrets of the universe. Whether you're a student, a professional in a STEM field, or simply someone who wants to sharpen their analytical skills, understanding and applying mathematical formulas is essential. In this article, we will delve into the world of mathematical formulas, exploring their significance, and providing a comprehensive guide to help you master them. Let's embark on this exciting journey of mathematical discovery!

Basic Maths Formulas

A mathematical formula is a precise representation or rule that emerges from the relationship between multiple quantities, and its outcome is expressed using symbolic notation. Math formulas consist of various elements, such as constants, which are specific numbers, variables that represent unknown values, mathematical signs and symbols, and occasionally exponential powers.

BODMAS Formula

B = Bracket 

O = Of

D = Division

M = Multiplication 

A = Addition

S = Subtraction 

Basic Algebra Formulas

1. a2 – b2 = (a – b)(a + b)
2. (a + b)2 = a2 + 2ab + b2
3. a2 + b2 = (a + b)2 – 2ab
4. (a – b)2 = a2 – 2ab + b2
5. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
6. (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
7. (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
8. (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
9. a3 – b3 = (a – b)(a2 + ab + b2)
10. a3 + b3 = (a + b)(a2 – ab + b2)
11. (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
12. (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
13. a4 – b4 = (a – b)(a + b)(a2 + b2)
14. a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
15. (a +b+ c)2=a2+b2+c2+2ab+2bc+2ca
16. (a +b+ c+…)2=a2+b2+c2+⋯+2(ab +ac+ bc +⋯
17. (x+ y+ z)2=x2+y2+z2+2xy+2yz+2xz
18. (x +y−z)2=x2+y2+z2+2xy−2yz−2xz
19. (x− y+ z)2=x2+y2+z2−2xy−2yz+2xz
20. (x−y−z)2=x2+y2+z2−2xy+2yz−2xz
21. x3+y3+z3−3xyz=(x+ y+ z)(x2+y2+z2−xy−yz−xz)
22. x2+y2=1/2[(x+ y)2+(x−y)2]
23. (x +a)(x +b)(x +c)=x3+(a +b+ c)x2+(ab +bc+ ca)x+ abc
24. x3+y3=(x+ y)(x2−xy+y2)
25. x3−y3=(x−y)(x2+xy+y2)
26. x2+y2+z2−xy−yz−zx=1/2[(x−y)2+(y−z)2+(z−x)2]

Works Cited

https://www.collegesearch.in/articles/maths-formulas