To subtract \( (5x^2 - 11x) \) from \( (8x^2 + 8x) \), we can set up the expression as follows:

\[
(8x^2 + 8x) - (5x^2 - 11x)
\]

Now, distribute the negative sign to each term inside the parentheses:

\[
= 8x^2 + 8x - 5x^2 + 11x
\]

Combine like terms:

1. For the \( x^2 \) terms: \( 8x^2 - 5x^2 = 3x^2 \)
2. For the \( x \) terms: \( 8x + 11x = 19x \)

So, the result is:

\[
3x^2 + 19x
\]

### Answer:
\[
3x^2 + 19x
\]

Would you like more details or have any questions about the steps? 

Here are five related questions to practice with similar concepts:

1. Subtract \( (3x^2 - 7x) \) from \( (10x^2 + 4x) \).
2. Add \( (6x^2 + 2x) \) and \( (4x^2 - 5x) \).
3. Simplify \( (7x^3 + 2x) - (3x^3 - 4x) \).
4. Subtract \( (2x^2 + 8x - 5) \) from \( (5x^2 - 3x + 6) \).
5. Combine \( (10x^2 - 2x + 4) + (3x^2 + x - 1) \).

**Tip:** Always distribute the subtraction sign carefully when subtracting expressions.

Learn how to subtract polynomials by solving the expression (5x^2 - 11x) from (8x^2 + 8x). This solution provides a step-by-step guide to combining like terms and applying the distributive property, perfect for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation