Video Transcript
Simplify π multiplied by three minus five π.
We will begin this question by distributing the parentheses or expanding the brackets. Multiplying π by three gives us three π, and multiplying π by negative five π gives us negative five π squared. We recall from our knowledge of imaginary numbers that π squared is equal to negative one. This means that five π squared is equal to five multiplied by negative one. This means that our expression simplifies to three π plus five.
Whilst it is not essential, we usually write our complex numbers with the real part first. Writing our expression in the form π plus ππ gives us five plus three π. The complex number π multiplied by three minus five π simplifies to five plus three π.