Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3 {i}^{2} + 6i}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2 + i)(i + 2i)}[/tex]
Use the distribute property to multiply each term of the first binomial by each term of the second binomial.
⇒[tex] \sf{2(i + 2i) + i(i + 2i)}[/tex]
⇒[tex] \sf{2i + 4i + {i}^{2} + 2 {i}^{2} }[/tex]
Collect like terms
⇒[tex] \sf{3 {i}^{2} + 6i}[/tex]
Hope I helped!
Best regards!
