Distributive law and quadratic identities

Summary

• \(a\left( b+c \right)=ab+ac\) (Distrib utive law)
• \(\left( a+b \right)c=ac+bc\)
• \(\left( a+b \right)\left( c+d \right)=ac+ad+bc+bd\)
• \(\left( a+b \right)\left( a-b \right)=a^2-b^2\)
• \({\left( a+b \right)}^2=a^2+2ab+b^2\)
• \({\left( a-b \right)}^2=a^2-2ab+b^2\)
• Factorization : decompose an expression into a product of expressions