Get the information you need with the help of IDNLearn.com's expert community. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

Simplify the following expression:

[tex]\[ 36x^7 - 25 \][/tex]


Sagot :

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]