Using Conjugates with Complex Numbers Practice Test

Use the conjugate method to simplify and write in $a+bi$ form: $$\frac{2-i}{3+2i}.$$

Multiply a complex number by its conjugate to get a real number: Compute $(4 + 3i)(4 - 3i)$. (Hint: $(a+bi)(a-bi)=a^2+b^2$.)