Answer :

Sure, let's work through the problem step-by-step to simplify the expression [tex]\( 1 - d^2 \)[/tex].

Step-by-Step Solution:

1. Identify the components of the expression:
The expression consists of the constant [tex]\(1\)[/tex] and the term [tex]\(d^2\)[/tex].

2. Understand each component:
- [tex]\(1\)[/tex] is a constant.
- [tex]\(d^2\)[/tex] represents the variable [tex]\(d\)[/tex] raised to the power of 2.

3. Combine the components:
The expression [tex]\( 1 - d^2 \)[/tex] is the combination of subtracting [tex]\(d^2\)[/tex] from [tex]\(1\)[/tex].

4. Simplify the expression:
- Since there are no like terms to combine (a constant and a squared term cannot be combined), the expression is already in its simplest form.

Final result:
[tex]\[ 1 - d^2 \][/tex]

There is nothing more to simplify; therefore, the final simplified expression remains [tex]\( 1 - d^2 \)[/tex].