https://file.aiquickdraw.com/mathbot/file/1728437996876l0y60xwc.jpg

The given expression is:

\[
1 + 2y^6 - 4y^3 - 6y^6 + 4y^3 - y^5 - 9
\]

Let's simplify this step by step by combining like terms.

1. Combine the \(y^6\) terms: \(2y^6 - 6y^6 = -4y^6\)
2. Combine the \(y^3\) terms: \(-4y^3 + 4y^3 = 0\)
3. There is only one \(y^5\) term: \(-y^5\)
4. Combine the constant terms: \(1 - 9 = -8\)

Now, the simplified expression is:

\[
-4y^6 - y^5 - 8
\]

Would you like more details on how I combined these terms, or do you have any specific questions?

Here are five related questions:
1. How do you factor a polynomial like the one above?
2. What are the steps to evaluate this polynomial for a given value of \(y\)?
3. How can you find the degree of a polynomial?
4. What does it mean to classify terms in a polynomial expression?
5. How do you differentiate or integrate this polynomial?

**Tip:** When simplifying expressions, always group like terms first to reduce complexity before moving forward with operations.

Simplify the expression: 1 + 2y^6 - 4y^3 - 6y^6 + 4y^3 - y^5 - 9

Learn how to simplify the polynomial expression 1 + 2y^6 - 4y^3 - 6y^6 + 4y^3 - y^5 - 9 by combining like terms, with a step-by-step explanation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation