Math Problem Statement

Simplify the expression:

–2(4 − u) =

Solution

Let's simplify the expression:

2(4u)-2(4 - u)

To do this, distribute the 2-2 across the terms inside the parentheses:

2×4=8-2 \times 4 = -8 2×(u)=2u-2 \times (-u) = 2u

So, the simplified expression is:

8+2u-8 + 2u

Final answer:

8+2u-8 + 2u

Would you like more details on any step?


Here are five related questions to explore further:

  1. How would you simplify 3(5x)-3(5 - x)?
  2. What happens when you distribute a positive number, say 3(4+x)3(4 + x)?
  3. Can you simplify 2(3+2x)+4x-2(3 + 2x) + 4x?
  4. How would you solve 2(4u)=10-2(4 - u) = 10 for uu?
  5. What does distributing a fraction, like 12(6x)\frac{1}{2}(6 - x), look like?

Tip: Always distribute signs (positive or negative) carefully to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

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

Theorems

Distributive Law of Multiplication over Addition

Suitable Grade Level

Grades 6-8