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The provided image shows an algebraic expression where two polynomials are subtracted:

\[
\left(2x^2s - 14xs + 20 - 5x^2s^2\right) - \left(3x^2 - 2 + 13x^2s^3\right)
\]

Let's simplify the expression step by step.

### Step-by-Step Simplification:
1. **Distribute the negative sign** to the second polynomial:
   \[
   2x^2s - 14xs + 20 - 5x^2s^2 - 3x^2 + 2 - 13x^2s^3
   \]
2. **Combine like terms**:
   - Constant terms: \( 20 + 2 = 22 \)
   - \(x^2s\) terms: \( 2x^2s - 14xs - 5x^2s^2 - 13x^2s^3 \)
   - \(x^2\) terms: \( -3x^2 \)

So the simplified expression becomes:

\[
-6x^2
\]

Would you like more details or clarifications on any step? Here are some related questions:

1. How do we identify like terms in algebraic expressions?
2. What is the significance of distributing the negative sign in subtraction?
3. How do exponents and variables affect the process of combining like terms?
4. What are some common mistakes to avoid when simplifying polynomials?
5. How would the process differ if factoring were allowed?

**Tip:** Always ensure to distribute the negative sign correctly when simplifying algebraic expressions!

Subtract: (2x^2s - 14xs + 20 - 5x^2s^2) - (3x^2 - 2 + 13x^2s^3)

Learn how to simplify a polynomial expression by subtracting and combining like terms. This problem involves distributing the negative sign and simplifying expressions with multiple terms and exponents. Suitable for Grades 9-11.

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