Math Problem Statement

simplify (2x-3y)-(8x+6y+4)

Solution

To simplify the expression (2x3y)(8x+6y+4)(2x - 3y) - (8x + 6y + 4), follow these steps:

  1. Distribute the negative sign across the second group: (2x3y)8x6y4(2x - 3y) - 8x - 6y - 4

  2. Combine like terms:

    • Combine the xx terms: 2x8x=6x2x - 8x = -6x
    • Combine the yy terms: 3y6y=9y-3y - 6y = -9y
    • The constant term remains: 4-4

So, the simplified expression is: 6x9y4-6x - 9y - 4

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you factor the expression 6x9y4-6x - 9y - 4?
  2. What happens if you add 1010 to the simplified expression?
  3. How do you simplify 2(3x4y)3(x+2y)2(3x - 4y) - 3(x + 2y)?
  4. Can you explain the difference between like terms and unlike terms?
  5. What are the steps to expand and simplify (x+2)(x3)(x + 2)(x - 3)?

Tip: When simplifying expressions, always distribute any negative signs and combine like terms carefully to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Polynomials

Formulas

Distributive Property
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 6-8