Math Problem Statement

Rewrite in simplest terms: minus, 9, a, minus, 2, left parenthesis, 9, a, minus, 5, right parenthesis−9a−2(9a−5)

Solution

The expression 9a2(9a5)-9a - 2(9a - 5) can be simplified as follows:

  1. Distribute the 2-2 across the terms inside the parentheses:
    9a2(9a5)-9a - 2(9a - 5)
    = 9a29a+25-9a - 2 \cdot 9a + 2 \cdot 5
    = 9a18a+10-9a - 18a + 10

  2. Combine like terms:
    9a18a+10=27a+10-9a - 18a + 10 = -27a + 10

So, the simplified form is: 27a+10-27a + 10

Do you have any questions or want more details on how this was done?

Here are 5 related questions:

  1. How would the expression change if the 9a-9a term were positive?
  2. How do you distribute when the sign outside the parentheses is positive?
  3. What if the number inside the parentheses was more complex, like 9a+3b59a + 3b - 5?
  4. How can you factor the final simplified expression 27a+10-27a + 10?
  5. Can you solve the equation if 27a+10=0-27a + 10 = 0?

Tip: Always distribute carefully and combine like terms to simplify expressions easily.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Distributive Property

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8