To subtract \( (8x + 4) \) from \( (5x^2 + 4x) \), follow these steps:

1. Write the expression for subtraction:
   \[
   (5x^2 + 4x) - (8x + 4)
   \]

2. Distribute the negative sign across the second expression:
   \[
   5x^2 + 4x - 8x - 4
   \]

3. Combine like terms:
   - Combine \( 4x \) and \( -8x \):
     \[
     5x^2 - 4x - 4
     \]

So, the result is:
\[
5x^2 - 4x - 4
\]

Would you like further details or clarification?

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Here are five related questions to deepen your understanding:

1. How do you subtract polynomials with multiple variables?
2. What happens if we add instead of subtract \( 8x + 4 \) from \( 5x^2 + 4x \)?
3. Can you factor the expression \( 5x^2 - 4x - 4 \)?
4. What is the degree of the resulting polynomial \( 5x^2 - 4x - 4 \)?
5. How do you find the roots of the polynomial \( 5x^2 - 4x - 4 \)?

**Tip**: Always distribute negative signs carefully when subtracting polynomials to avoid mistakes.

Learn how to subtract the polynomial 8x + 4 from 5x^2 + 4x with a step-by-step guide. This algebra problem demonstrates key concepts such as polynomial subtraction and the distributive property. Perfect for students in Grades 8-10.

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