As with factorial expressions involving numbers, simplifying algebraic expressions is a lot of writing. The next example shows how to use shorthand to simplify.

Simplify the expression , where without using fully expanded form.

 

The simplified form of the expression is n3 + 3n2 + 2n .

 

Read page 79 Example 3 in your textbook, Principles of Mathematics 12.

Complete the questions on page 82 (6a & 6d) for more practice simplifying algebraic expressions involving factorial notation.

Click here to verify your answers .