Glossary Checklist FAQ

Simplify the following expressions by collecting like terms.

1. \(3x^2 + 4x - 5x^2 + 2x + 4x\)
   
   
   Solution

   \(\begin{align}
    {\color{blue}3x^2} {\color{red} + \thinspace 4x} \thinspace {\color{blue} - 5x^2} {\color{red} + 2x + 4x} &= {\color{blue}\left( {3 - 5} \right)x^2} + {\color{red}\left( {4 + 2 + 4} \right)x }\\
     &= {\color{blue}-2x^2} {\color{red}+ 10x} \\
    \end{align}\)
   
2. \(3xy + 2x - 5y - 4x + 2xy - 9y\)
   
   
   Solution

   \(\begin{align}
    {\color{red}3xy} \thinspace {\color{blue}+ 2x} \thinspace {\color{green}- 5y} \thinspace {\color{blue}- 4x}\thinspace  {\color{red}+ 2xy} \thinspace {\color{green}- 9y} &= {\color{red}\left( {3 + 2} \right)xy} \thinspace {\color{blue}+ \left( {2 - 4} \right)x} \thinspace {\color{green}+ \left( { - 5 - 9} \right)y} \\
     &= {\color{red} 5xy} {\color{blue}- 2x} {\color{green} - 14y} \\
    \end{align}\)