Certainly! Let's analyze and break down the given expression step-by-step:
The expression provided is [tex]\(36 x^7 - 25\)[/tex].
Step 1: Understanding the Terms
1. First term: [tex]\(36 x^7\)[/tex]
- The coefficient here is 36.
- The variable [tex]\(x\)[/tex] is raised to the 7th power (x^7).
2. Second term: [tex]\(-25\)[/tex]
- This is a constant term, meaning it does not change with different values of [tex]\(x\)[/tex].
Step 2: Combining the Terms
- These two terms appear together in an algebraic expression:
[tex]\[
36 x^7 - 25
\][/tex]
Simplification:
- The expression [tex]\(36 x^7 - 25\)[/tex] is already in its simplest form. It is a polynomial expression with two terms: one involving [tex]\(x\)[/tex] and one that is a constant.
Summary:
- The given expression is a polynomial with one term involving the variable [tex]\(x\)[/tex] raised to a power (degree 7) and a constant term subtracted from it.
There is no further simplification or calculation to be done unless specific values for [tex]\(x\)[/tex] are provided. Therefore, the final expression is:
[tex]\[
36 x^7 - 25
\][/tex]