Subtract minus, 5, x, squared, minus, 9, x, minus, 5−5x 
2
 −9x−5 from 4, x, squared, minus, 5, x, plus, 34x 
2
 −5x+3.

To solve the problem where we subtract the expression \( -5x^2 - 9x - 5 \) from \( 4x^2 - 5x + 3 \), the key is to subtract each corresponding term.

### Step 1: Write both expressions clearly.
- First expression: \( 4x^2 - 5x + 3 \)
- Second expression: \( -5x^2 - 9x - 5 \)

### Step 2: Subtract the second expression from the first.
This means we distribute the negative sign across the second expression, turning it into:

\[
- \left( -5x^2 - 9x - 5 \right) = 5x^2 + 9x + 5
\]

### Step 3: Add the two expressions.
Now, combine the like terms:

\[
\left( 4x^2 - 5x + 3 \right) + \left( 5x^2 + 9x + 5 \right)
\]

- Combine \( x^2 \) terms: \( 4x^2 + 5x^2 = 9x^2 \)
- Combine \( x \) terms: \( -5x + 9x = 4x \)
- Combine constants: \( 3 + 5 = 8 \)

### Final answer:
\[
9x^2 + 4x + 8
\]

Would you like further details or have any questions?

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Here are 5 related questions:
1. How do you subtract polynomials with multiple variables?
2. What happens when you subtract negative terms from polynomials?
3. Can you show how to factor the expression \( 9x^2 + 4x + 8 \)?
4. How do you handle polynomials with higher-degree terms during subtraction?
5. How does distributing the negative sign affect subtraction?

**Tip:** Always distribute negative signs carefully across each term when subtracting polynomials.

Subtract -5x^2 - 9x - 5 from 4x^2 - 5x + 3.

Learn how to subtract polynomials, focusing on the expressions 4x^2 - 5x + 3 and -5x^2 - 9x - 5. This problem includes combining like terms and using the distributive property for a step-by-step solution. Ideal for students in Grades 9-10.

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