Math Problem Statement

Simplify the following expression by combining like terms: 7a^2 - 4 - 2a^2 + 5

Solution

The expression to simplify is:

7a242a2+57a^2 - 4 - 2a^2 + 5

We can simplify it by combining like terms:

  1. Combine the terms with a2a^2: 7a22a2=5a27a^2 - 2a^2 = 5a^2

  2. Combine the constant terms: 4+5=1-4 + 5 = 1

So, the simplified expression is: 5a2+15a^2 + 1

Would you like more details on the steps involved?

Here are 5 follow-up questions to enhance your understanding:

  1. What are like terms, and how do you identify them?
  2. Can you apply these steps to more complex expressions involving multiple variables?
  3. How would you simplify an expression with different powers of aa, like a3a^3 or a1a^1?
  4. What happens if there are no constant terms to combine?
  5. How would this process change if the terms involved subtraction or fractions?

Tip: Always group terms with the same variables and powers together to simplify any algebraic expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8