Math Problem Statement

(a+b)(x)

Solution

The expression (a+b)(x)(a + b)(x) represents the product of two terms: (a+b)(a + b) and xx. To simplify this expression, you can distribute xx to both aa and bb:

(a+b)(x)=ax+bx(a + b)(x) = ax + bx

So, the simplified expression is:

ax+bxax + bx

Would you like any further details or explanations?

Here are some related questions:

  1. How would you factor a similar expression, ax+bxax + bx?
  2. What is the result of (ab)(x)(a - b)(x)?
  3. How do you expand (a+b)(x+y)(a + b)(x + y)?
  4. Can this distributive property be applied to more complex expressions?
  5. What if aa and bb were specific numbers? How would the expression change?

Tip: The distributive property allows you to break down expressions into simpler parts, making it easier to solve or simplify equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

-

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 7-9