Question

Which expression is equivalent to (3 5i)2?

Answer 1

(3 + 5i)^2 = (3 + 5i)(3 + 5i) = 9 + 15i + 15i - 25 = -16 + 30i

Answer 2

`-16+30i` is the required expression.

Explanation:

We have been given the expression:

`(3+5i)^2`

We will simplified it to its maximum which is the equivalent expression of the given expression.

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

Here,
`a=3,b=5i`

On substituting the values in the formula we get:

`(3+5i)^2=3^2+(5i)^2+2\cdot 3\cdot 5i`

`\Rightarrow (3+5i)^2=9-25+30i`

`\Rightarrow (3+5i)^2=-16+30i`

Hence,
`-16+30i` is the required expression