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:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.