Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i

Work Shown:

x = (4+6i)^2

x = (4+6i)(4+6i)

x = y(4+6i)   let y = 4+6i

x = 4(y)+6i(y)   distribute

x = 4(4+6i)+6i(4+6i)   plug in y = 4+6i

x = 16+24i+24i+36i^2   distribute again

x = 16+24i+24i+36(-1)   use the fact that i^2 = -1

x = 16+24i+24i-36

x = 16-36+24i+24i

x = -20+48i

A -20+28i

Step-by-step explanation:

the answer is 175.4379

step-by-step explanation: