Question

Which expression is equivalent to mc014-1.jpg?

Answer 1

The correct mathematical expression that is equivalent to the given expression $(4+6i)^2$ is -20 + 48i.

The mathematical equivalent of the given expression must be found:

You must find a mathematical expression that is equivalent to the given expression in this homework. As a result, we would apply the perfect-square trinomial to simplify the expression.

The perfect-square trinomial:

Mathematically, the perfect-square trinomial is given by this expression mentioned below:

$(a+b)^2 = a^2+2ab+b^2$

Comparing the expressions, we are having now:

a = 4

b = 6i

Substituting the values, we have:

$(4+6i)^2 = 4^2+2(4)(6i)+(6i)^2$

$(4+6i)^2 = 16+48i+36i^2 \\i^2= -1$

(4+6i)² = -20+48i

The correct mathematical expression that is equivalent to the given expression $(4+6i)^2$ is -20 + 48i.

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Answer 2

Answer:

Step-by-step explanation:

it is C