Let's simplify the given expression step by step:

### Expression:
\[
8x^2y + 2x - 8xy + 2
\]

1. **Group like terms**:
There are no like terms that can be directly combined, but we can rearrange it as:
\[
8x^2y - 8xy + 2x + 2
\]

2. **Factor terms where possible**:
We can factor out \(8xy\) from the first two terms:
\[
8xy(x - 1) + 2x + 2
\]

Now, factor out the common factor of \(2\) from the last two terms:
\[
8xy(x - 1) + 2(x + 1)
\]

This is the simplified form of the expression:
\[
8xy(x - 1) + 2(x + 1)
\]

Would you like further details on any part of this process?

### Related questions:
1. How can we factor more complex polynomials?
2. What are common factoring techniques for multi-variable expressions?
3. How do you recognize like terms in polynomial expressions?
4. Can this expression be solved for a

Learn how to simplify the polynomial expression 8x^2y + 2x - 8xy + 2 by factoring common terms. This problem covers key algebraic concepts like grouping like terms and applying the distributive property. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation