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The image asks to **subtract the polynomials** \( (x^3 - 4x^2 + 6x^3) - (2x^3 - x^2 + 5) \).

### Let's break this down:
1. **Simplify the first polynomial**:  
   \( x^3 - 4x^2 + 6x^3 \)  
   Combine like terms:  
   \( (x^3 + 6x^3) - 4x^2 = 7x^3 - 4x^2 \).

2. **Distribute the negative sign** across the second polynomial:  
   \[
   -(2x^3 - x^2 + 5) = -2x^3 + x^2 - 5
   \]

3. **Subtract the two polynomials**:  
   Now subtract \( -2x^3 + x^2 - 5 \) from \( 7x^3 - 4x^2 \):
   \[
   (7x^3 - 4x^2) - (2x^3 - x^2 + 5) = 7x^3 - 4x^2 - 2x^3 + x^2 - 5
   \]
   Combine like terms:
   \[
   (7x^3 - 2x^3) + (-4x^2 + x^2) - 5 = 5x^3 - 3x^2 - 5
   \]

### Final Answer:
\[
5x^3 - 3x^2 - 5
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you add polynomials?
2. What is the process for multiplying polynomials?
3. How do you factor a cubic polynomial?
4. Can you explain how to divide polynomials?
5. What is the role of coefficients in polynomial operations?

### Tip:
Always remember to distribute the negative sign carefully when subtracting polynomials!

Subtract the polynomials: (x^3 - 4x^2 + 6x^3) - (2x^3 - x^2 + 5)

Learn how to subtract the polynomials (x^3 - 4x^2 + 6x^3) - (2x^3 - x^2 + 5) with a step-by-step guide. Understand key algebraic concepts like combining like terms and applying the distributive property. Suitable for Grades 8-10.

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