Algebra formula
friends hear you will gate most important Algebra formula 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 12. am an = am−n if m>n = 1 if m = n = 1 an−m if m<n; a ∈ R, a 6= 0 13. (am)n = amn = (an)m 14. (ab)n = an.bn 15. a b n = an bn 16. a0 = 1 where a ∈ R, a 6= 0 17. a−n = 1 an , an = 1 a−n 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...
