Math Problem Statement

2(a-3)+b(3-a)

Solution

To simplify the given expression 2(a3)+b(3a)2(a-3) + b(3-a), follow these steps:

Step 1: Expand each term

2(a3)=2a62(a-3) = 2a - 6 b(3a)=3babb(3-a) = 3b - ab

Step 2: Combine the expanded terms

2a6+3bab2a - 6 + 3b - ab

Step 3: Rearrange in a standard form (optional)

ab+2a+3b6- ab + 2a + 3b - 6

This is the simplified version of the expression.

Let me know if you'd like further clarifications or have additional questions!


Relative Questions:

  1. Would you like to factorize the simplified expression further?
  2. Are there any specific values for aa and bb to substitute into the expression?
  3. Do you need help plotting this expression graphically?
  4. Should I explain the steps to rearrange and group terms in more detail?
  5. Do you want to analyze the behavior of the expression for particular cases?

Tip: Always check for common terms after expanding to simplify expressions fully!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8