Tutorial - How do we multiply complex numbers ex 14, (9 + 5i)^2

The video tutorial explains the concept of squaring numbers, focusing on the common mistake of distributing the square over addition. It introduces binomials and their properties, leading to the formation of perfect square trinomials. The tutorial further demonstrates how to apply factoring techniques to solve equations, emphasizing the importance of understanding the multiplication of binomials and the use of perfect square trinomials.

What is a common mistake students make when squaring a binomial?

• Adding the terms directly

• Ignoring the imaginary part

• Multiplying the coefficients only

• Distributing the square over addition

What does a binomial squared create?

• A quadratic equation

• A cubic polynomial

• A perfect square trinomial

• A linear equation

Which formula represents the expansion of a binomial squared?

• a^2 + ab + b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

• a^2 + b^2

In the example 9 + 4i squared, what is the result of 4i squared?

• -8

• 8

• -16

• 16

What is the final result of squaring the binomial 9 + 4i?

• 81 + 72i + 16

• 65 - 72i

• 65 + 72i

• 81 - 16 + 72i