Math Problem Statement

Simplify the expression. If not possible, write simplified.

4a+5a2+2a2+a2

Solution

To simplify the expression 4a+5a2+2a2+a24a + 5a^2 + 2a^2 + a^2, we follow these steps:

  1. Combine like terms for a2a^2-terms and the aa-term.
    • 5a2+2a2+a2=8a25a^2 + 2a^2 + a^2 = 8a^2
    • The aa-term is 4a4a.

So the simplified expression is: 8a2+4a8a^2 + 4a

This is the simplest form.

Would you like more details or have any other questions?

Here are five related questions:

  1. How do you factor the expression 8a2+4a8a^2 + 4a?
  2. What happens when you set 8a2+4a=08a^2 + 4a = 0?
  3. Can you apply the distributive property to simplify similar expressions?
  4. How do you combine terms when there are different variables?
  5. What if one of the terms included a constant instead of a variable?

Tip: Always look for like terms (terms with the same variable and exponent) when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Like Terms

Formulas

Combining like terms

Theorems

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Suitable Grade Level

Grades 6-8