Math Problem Statement

Which expression is equivalent to (5a – 4b) + (-3a – 2b)?

Solution

To simplify the expression (5a4b)+(3a2b)(5a - 4b) + (-3a - 2b), follow these steps:

  1. Group the like terms:

    • Combine the terms with aa: 5a+(3a)=2a5a + (-3a) = 2a
    • Combine the terms with bb: 4b+(2b)=6b-4b + (-2b) = -6b
  2. The simplified expression is: 2a6b2a - 6b

Therefore, the expression equivalent to (5a4b)+(3a2b)(5a - 4b) + (-3a - 2b) is 2a6b2a - 6b.

Do you need any further details or clarifications?

Here are 5 related questions to expand on this:

  1. How do you simplify an expression with more variables?
  2. What happens when you subtract algebraic expressions?
  3. How would you factor the result 2a6b2a - 6b?
  4. What if the coefficients were decimals instead of integers?
  5. How do you handle expressions with more complex terms, like squares or cubes?

Tip: Always group and simplify like terms to make expressions easier to manage.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms

Formulas

Combining like terms: (5a - 3a) and (-4b - 2b)

Theorems

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Suitable Grade Level

Grades 6-8