Math Problem Statement

ab(a-b)

Solution

The expression ab(ab)ab(a - b) can be expanded using the distributive property. Here's how:

ab(ab)=abaabbab(a - b) = ab \cdot a - ab \cdot b

Now, simplify each term:

aba=a2bab \cdot a = a^2b abb=ab2ab \cdot b = ab^2

So, the expanded form is:

ab(ab)=a2bab2ab(a - b) = a^2b - ab^2

Would you like more details or have any questions?

Here are five related questions:

  1. How would you expand the expression a(bc)(cd)a(b - c)(c - d)?
  2. What is the expanded form of (a+b)(ab)(a + b)(a - b)?
  3. How would you factor the expression a2bab2a^2b - ab^2 back into its original form?
  4. What is the difference between factoring and expanding in algebra?
  5. How would you simplify the expression ab(ab)+b(ab)ab(a - b) + b(a - b)?

Tip: When expanding expressions, always apply the distributive property carefully to ensure that each term is correctly multiplied.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9