Question

(-3+i)^2 in simplest a + bi form

Answer 1

`\boxed{8-6i}`

Explanation:

First, we developed the square binomial
`(-3+\mathrm{i})^2`.

`\implies (-3+\mathrm{i})(-3+\mathrm{i})\\9-3\mathrm{i}-3\mathrm{i}+i^2\\9-6\mathrm{i}+\mathrm{i}^2`

Remember the next product:

`i^2= \mathrm{i} * \mathrm{i} = -1`

then:

`9-6\mathrm{i}+ (-1)\\8-6i`

Hope it helps

`\text{-B$\mathfrak{randon}$VN}`