Math Problem Statement

Expand 8m(m - 2)

Solution

To expand the given expression 8m(m2)8m(m - 2):

  1. Distribute 8m8m to each term inside the parentheses:

8mm8m28m \cdot m - 8m \cdot 2

  1. Simplify each term:

8m216m8m^2 - 16m

Thus, the expanded expression is:

8m216m8m^2 - 16m

Would you like a more detailed explanation or have any specific questions?

Here are some related questions:

  1. What are the steps to simplify similar expressions?
  2. How do you factorize expressions like 8m216m8m^2 - 16m?
  3. What are the applications of polynomial expansion in mathematics?
  4. Can you expand and simplify more complex expressions involving multiple terms?
  5. What happens when you include powers of mm in such expansions?

Tip: Always distribute every term in the parentheses carefully to avoid missing any multiplication.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Expansion
Distributive Property

Formulas

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

Theorems

Distributive Property Theorem

Suitable Grade Level

Grades 7-9