Math Problem Statement

2 (4-uv)-8

Solution

To simplify the expression 2(4uv)82(4 - uv) - 8:

  1. Apply the distributive property:
    2(4uv)=2×42×uv=82uv2(4 - uv) = 2 \times 4 - 2 \times uv = 8 - 2uv.

  2. Now, simplify the full expression:
    82uv88 - 2uv - 8.

  3. Combine like terms:
    882uv=2uv8 - 8 - 2uv = -2uv.

Thus, the simplified expression is:

2uv-2uv

Would you like any further details or have any questions?

Here are some related questions to expand your understanding:

  1. How do you distribute a constant over parentheses in algebra?
  2. What is the associative property of multiplication?
  3. How do you combine like terms in algebraic expressions?
  4. What happens when you subtract terms with variables in algebra?
  5. Can you simplify the expression further if u=v=1u = v = 1?

Tip: Always look for like terms (constants or similar variables) to simplify expressions efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

a(b - c) = ab - ac
Combining like terms

Theorems

Distributive Property
Associative Property

Suitable Grade Level

Grades 7-8