Math Problem Statement

-4a + 2b + b - c + 3c

Solution

The expression shown in the image is:

4a+2b+bc+3c-4a + 2b + b - c + 3c

We can simplify this by combining like terms:

  • Combine the terms with aa: There's only 4a-4a.
  • Combine the terms with bb: 2b+b=3b2b + b = 3b.
  • Combine the terms with cc: c+3c=2c-c + 3c = 2c.

Thus, the simplified expression is:

4a+3b+2c-4a + 3b + 2c

Would you like more details on this or have any questions?

Here are 5 questions related to this:

  1. How would the expression change if we add another aa-term, like +2a+2a?
  2. What if the coefficients of bb were fractions instead of whole numbers?
  3. How do you handle simplifications with more variables?
  4. How would this expression be affected if you factored out a common factor from each term?
  5. Can you apply this type of simplification to a system of equations?

Tip: When simplifying expressions, always look for terms with the same variables to combine them efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Algebraic Expressions

Formulas

Simplification: Combine like terms

Theorems

None

Suitable Grade Level

Grades 6-8