Which expression is equivalent to (4+6i)^2
a) -20+48i
b) 8+12i
c) 16-36i
d)20+48i

Option A is correct -20+48i

Explanation:

We are given the complex number which is of the form a+ib where i is the imaginary and a,b are real numbers.

We will use the formula of        (1)

We have been given the expression

Here a=4 and b= 6i

We will substitute the values of a and b in the formula as mentioned in equation (1)

So,

Therefore Option A is correct.

to complete this square you have to rotate about the origin 270 degrees clockwise.