Question

What's the answer for (2+i)(i+2i)?​

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{3 {i}^{2} + 6i}}}}}$

Step-by-step explanation:

$\sf{(2 + i)(i + 2i)}$

Use the distribute property to multiply each term of the first binomial by each term of the second binomial.

⇒$\sf{2(i + 2i) + i(i + 2i)}$

⇒$\sf{2i + 4i + {i}^{2} + 2 {i}^{2} }$

Collect like terms

⇒$\sf{3 {i}^{2} + 6i}$

Hope I helped!

Best regards!