Math Problem Statement

What is the simplified form of each expression?

-(8d - 3w)

What is the simplified form of each expression?

−(8⁢d−3⁢w)

Responses

8d − 3w

8d − 3w

−8d + 3w

−8d + 3w

. 8d + 3w

. 8d + 3w

−8d − 3w

Solution

To simplify the expression (8d3w)-(8d - 3w), we distribute the negative sign to each term inside the parentheses:

(8d3w)=8d+3w-(8d - 3w) = -8d + 3w

So, the simplified form of the expression is:

8d+3w-8d + 3w

Would you like further details or have any other questions?

Here are some related questions to explore:

  1. How do you simplify expressions involving parentheses?
  2. What is the difference between distributing a positive and negative sign?
  3. How would this expression change if we had (3w8d)-(3w - 8d)?
  4. What happens if we apply this process to more complex expressions?
  5. Can you simplify (5x7y+z)-(5x - 7y + z)?

Tip: Always check the sign in front of parentheses carefully; it affects all terms inside!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

-(a - b) = -a + b

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8