Math Problem Statement

(−7x−9)−(−9x+2)

Solution

Let's simplify the expression:

(7x9)(9x+2)(-7x - 9) - (-9x + 2)

Step 1: Distribute the negative sign to each term inside the parentheses. 7x9+9x2-7x - 9 + 9x - 2

Step 2: Combine like terms.

  • Combine the xx-terms: 7x+9x=2x-7x + 9x = 2x
  • Combine the constant terms: 92=11-9 - 2 = -11

So, the simplified expression is:

2x112x - 11

Would you like a more detailed explanation of any part of this? Or do you have another question?

Here are some related questions you might find interesting:

  1. How do you simplify expressions with multiple variables?
  2. What is the distributive property, and how does it apply here?
  3. How do you solve equations with like terms?
  4. Can you simplify expressions with fractions in a similar way?
  5. How do you factor expressions like 2x112x - 11?

Tip: Always distribute the negative signs carefully when simplifying expressions with parentheses!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms
Distributive Property

Formulas

Distributive property: a(b + c) = ab + ac
Combining like terms: ax + bx = (a + b)x

Theorems

Distributive property
Combining like terms theorem

Suitable Grade Level

Grades 7-9