Distributive law and quadratic identities

Summary

  • a(b+c)=ab+aca(b+c)=ab+ac (Distrib utive law)
  • (a+b)c=ac+bc(a+b)c=ac+bc
  • (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd
  • (a+b)(ab)=a2b2(a+b)(ab)=a2b2
  • (a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2
  • (ab)2=a22ab+b2(ab)2=a22ab+b2
  • Factorization : decompose an expression into a product of expressions