A mathematical pair that is equivalent to the given expression [tex](4+6i)^2[/tex] is -20 + 48i.
Given the following expression:
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:
[tex](a+b)^2=a^2+2ab +b^2[/tex]
Comparing the expressions, we have:
Substituting the values, we have:
[tex](4+6i)^2=4^2+2(4)(6i) +(6i)^2\\\\(4+6i)^2=16+48i +36i^2[/tex]
Note: [tex]i^2[/tex] = -1
Simplifying further, we have:
[tex](4+6i)^2=16+48i +36(-1)\\\\(4+6i)^2=16+48i -36\\\\(4+6i)^2=-20+48i[/tex]
Read more on mathematical pairs here: https://brainly.com/question/13170908
