Generate Quiz 696603FF761D2

You can use either the direct multiplication method or the binomial expansion to find ((3 + 2i)^3)):

(3 + 2i)^3 = (3 + 2i)(3 + 2i)(3 + 2i)

Simplifying and extending this, you obtain:

(3 + 2i)^3 = 46 – 9i

Thus, (b) (46 – 9i) is the right response.

Two complex numbers must have equal real and imaginary parts in order to be considered equal. Complex numbers are numbers of the form z=a+bi, where i is the imaginary unit and a and b are real numbers.

Thus, in the event that a+ib=c+id, then:

The real parts of the first and second numbers, a and c, must be equal.

The imaginary portion of the first number, b, and the imaginary part of the second number, d, must be equal.

Abscissa: A point’s horizontal coordinate in the Cartesian plane is known as its abscissa. The abscissa of point A is represented by an in the ordered pair (a, b).

Ordinate: A point’s vertical coordinate in the Cartesian plane is its ordinate. The ordinate of point A is denoted by b in the ordered pair (a, b).

The horizontal and vertical components that collectively define a point’s location are referred to as its coordinates in the Cartesian plane. Together, a and b are point A’s coordinates since (a, b) denotes the ordered pair for that point.

As a result, every response option is accurate.

∵ √36 = √(2x2x3x3)