Question

Which pair shows equivalent expressions? mc019-1. Jpg mc019-2. Jpg mc019-3. Jpg mc019-4. Jpg.

Answer 1

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

Given the following expression:

• $(4+6i)^2$

To determine a mathematical pair that is equivalent to the given expression:

In this exercise, you're required to solve for a mathematical expression that is equivalent to the given expression. Thus, we would simplify the expression by applying the perfect-square trinomial.

The perfect square trinomial.

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

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

Comparing the expressions, we have:

• a = 4

• b = 6i

Substituting the values, we have:

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

Note: $i^2$ = -1

Simplifying further, we have:

$(4+6i)^2=16+48i +36(-1)\\\\(4+6i)^2=16+48i -36\\\\(4+6i)^2=-20+48i$

Read more on mathematical pairs here: brainly.com/question/13170908