Subtraction of monomial Rearrange and add this following
m^3+7m^n-6mn^+n^,2m^3+8m^n-mn^+2n^3

Let's break down and simplify the expression you've provided:

Given expression:
\[
m^3 + 7m^n - 6mn + n^2 + 2m^3 + 8m^n - mn + 2n^3
\]

### Step 1: Combine like terms
Let's identify the like terms:
- The \(m^3\) terms: \(m^3\) and \(2m^3\)
- The \(m^n\) terms: \(7m^n\) and \(8m^n\)
- The \(mn\) terms: \(-6mn\) and \(-mn\)
- The \(n^2\) term: \(n^2\)
- The \(n^3\) term: \(2n^3\)

### Step 2: Add and subtract the like terms
\[
(m^3 + 2m^3) + (7m^n + 8m^n) + (-6mn - mn) + n^2 + 2n^3
\]

Simplifying each group:
\[
3m^3 + 15m^n - 7mn + n^2 + 2n^3
\]

### Final Simplified Expression:
\[
3m^3 + 15m^n - 7mn + n^2 + 2n^3
\]

This is the simplified form of the expression.

Would you like further details or have any questions? Here are five related questions you might find useful:

1. How do you add and subtract polynomials?
2. What are like terms, and how do you identify them?
3. How can you factorize the resulting polynomial expression?
4. What happens when you multiply two polynomials?
5. How do you handle exponents when simplifying expressions?

**Tip:** Always double-check each step when combining like terms to ensure no terms are missed or incorrectly simplified.

Learn how to simplify the expression involving subtraction of monomials: m^3 + 7m^n - 6mn + n^2 + 2m^3 + 8m^n - mn + 2n^3. Step-by-step solution provided for combining like terms and simplifying. Suitable for high school students studying algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation