Category: Algebra

Solving Equations

A typical maths textbook presents equation solving in a very ordered, structured way. Starting with one-step equations such as 3x=6, they introduce the single step solution process

    \begin{eqnarray*} 3x & = & 6 \\ \color{red}{\scriptstyle \div 3} & & \color{red}{\scriptstyle\div 3} \\ x & = & 2 \end{eqnarray*}

before moving onto two-step equations such as 3x-3=12. For these equations …

Expanding Binomial Products

Welcome to the first mathematical post in The Mathenæum Blog. In this post, I have chosen to discuss expanding binomial products, because in many ways binomial products act as a bridge between elementary algebraic work, and more advanced applications …