Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]
Step-by-step explanation:
Multiply the numerator and denominator of [tex]\frac{4+2i}{2-i}[/tex] by the conjugate of [tex]2-i[/tex] to make the denominator real.
[tex]\frac{4+2i}{2-i}*\frac{2+i}{2+i}[/tex]
Multiply using the distributive property (foil method)
[tex]\frac{6+8i}{5}[/tex]
Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]
