Product of two complex numbers

Problem

Compute $(2+3i)(1-i)$.

Solution

Apply the distributive property and substitute $i^2=-1$: $(2+3i)(1-i) = 2 - 2i + 3i - 3i^2 = 2 + i + 3 = \boxed{5 + i}.$

Links

Topics: Complex numbers
Concepts: Cartesian form · Cartesian plane
Methods: Complex numbers in Cartesian form
Skills: Calculating
Exercise type: Evaluating expressions