Math Problem Statement

Simplify the expression: 2 ( 5 a − 4 a ) + 6 a 2(5a−4a)+6a

Solution

Let's simplify the given expression step-by-step:

Expression:
2(5a4a)+6a2(5a - 4a) + 6a

  1. Simplify inside the parentheses:

    5a4a=a5a - 4a = a

  2. Substitute the simplified term back:

    2(a)+6a2(a) + 6a

  3. Distribute the 2:

    2a+6a2a + 6a

  4. Combine like terms:

    2a+6a=8a2a + 6a = 8a

So, the simplified expression is:

8a8a

Would you like further details or have any questions?


Related Questions:

  1. How do you handle more complex expressions with nested parentheses?
  2. What happens if we include different variables, like aa and bb?
  3. How do you factor the final simplified expression 8a8a?
  4. What if there are exponents involved, such as a2a^2?
  5. Can this be visualized on a graph? If so, what would it look like?

Tip:

Always simplify expressions inside parentheses first to avoid errors in larger calculations!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property
Combining Like Terms

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8