Question

(2 - yi) ^2 simplest form

Answer 1

`-y^(2)-4yi+4`

Explanation:

we know that

`(a-b)^(2)=a^(2)-2ab+b^(2)`

we have

`(2-yi)^(2)`

substitute

`(2-yi)^(2)=(2)^(2)-2(2)(yi)+(yi)^(2)`

`(2-yi)^(2)=4-4yi+(y^(2))(i^(2))`

Remember that

`i^(2)=-1`

substitute

`(2-yi)^(2)=4-4yi+(y^(2))(-1)`

`(2-yi)^(2)=4-4yi-y^(2)`

`(2-yi)^(2)=-y^(2)-4yi+4`