Algebriac formulas list, Cheat Sheet of Mathematics

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Introduction to Algebra 1. In algebra, we substitute number with letters or alphabets to arrive at a solution. 2. We use letters like x,m,a,b,etc. to represent unknown quantities in the equation. Important Algebraic Formulae 1. (a+b) =a? + 2ab+b? 2. (a- b)? =a? - 2ab + b? 3. a? - b? = (a + b)(a - b) 4. a? +b? =(a+b)’-2ab =(a-b)?+2ab 5. (a + b)® = a® + 3a*b + 3ab? + b* 6. (a- bP =a’ - 3a*b + 3ab* - b? 7. a? + b? = (a + b) (a? - ab + b*) 8. a? - b* = (a - b) (a? + ab + b*) 9. (a + b)* - (a- b)? = 4ab 10. (a+ b+c} =a? + b? +c + 2ab + 2bc + 2ac 11. a? +b’ +c? - 3abc = (a + b + c)(a* + b* + c? - ab - be - ac) 12. ifa+b+c=0 then a’+b*+c* =3abc 13. a* + a? + 1 =(a? +a +1) (a?-a+1) 14. a* + a*b® + b* = (a? + ab + b”) (a? - ab + b*) 15. a* - b* = (a? + b”) (a + b)(a - b) 16. a* - b* = (a*+ b*) (a? + b*)(a + b)(a - b) 17.a™xa"=a™"" 18,2 =a" 3 19. {a")* =a”™” 20. (ab)* = a*b” algle