Problem: Quadratic identities
Problem
Using \(\left( a+b \right)\left( c+d \right)=ac+ad+bc+bd\)
- Prove that \(\left( a+b \right)\left( a-b \right)=a^2-b^2\)
- Prove that \({\left( a+b \right)}^2=a^2+2ab+b^2\)
- Prove that \({\left( a-b \right)}^2=a^2-2ab+b^2\)
Solution