Math Problem Statement

ab-3a-2b+6

Solution

The expression ab3a2b+6ab - 3a - 2b + 6 cannot be simplified further because it is already in its simplest form. However, you can rearrange or group terms for better readability or specific purposes, such as factoring. Let's explore:

Rearranged Expression:

ab3a2b+6ab - 3a - 2b + 6

Factoring Possibility:

Factoring depends on identifying common terms or patterns:

  1. Group terms strategically: (ab3a)(2b6)(ab - 3a) - (2b - 6)

  2. Factor each group: a(b3)2(b3)a(b - 3) - 2(b - 3)

  3. Notice the common factor (b3)(b - 3): (b3)(a2)(b - 3)(a - 2)

Final Factored Form:

(ab3a2b+6)=(b3)(a2)(ab - 3a - 2b + 6) = (b - 3)(a - 2)


Would you like further clarification or additional steps explained? 😊

Related Questions:

  1. How do you identify grouping for factoring?
  2. What is the distributive property and how is it applied here?
  3. Can this expression be graphed or solved for specific values of aa and bb?
  4. How does factoring help in solving equations?
  5. What are other methods to simplify algebraic expressions?

Tip:

Always check for common factors across all terms before attempting to factor by grouping.

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Distributive Property

Formulas

Factoring by grouping: ax + bx + ay + by = (a + b)(x + y)

Theorems

Distributive Property

Suitable Grade Level

Grades 8-10