Math Problem Statement

Which expression is equivalent to –

w−14(4)w−14(4)

A.w−0w−0

B.w−1w−1

C.−14w(4)−14w(4)

D.34w(4)34w(4)

Solution

To find the expression equivalent to w14(4)w14(4)w - 14(4)w - 14(4), let's simplify step by step:

The expression can be interpreted as:

w14(4w)14(4)w - 14 \cdot (4w) - 14 \cdot (4)

  1. Distribute the constants 14-14: w144w144=w56w56w - 14 \cdot 4w - 14 \cdot 4 = w - 56w - 56

  2. Simplify the terms w56ww - 56w: w56w=55ww - 56w = -55w So the expression becomes: 55w56-55w - 56

None of the answer choices exactly matches this expression. Therefore, it seems the given expression may need clarification or additional context to match one of the provided options.

Would you like to ask any details or provide clarification? Here are 5 questions based on this problem:

  1. Could you explain the context or format of the given expression?
  2. How do you distribute constants in algebraic expressions?
  3. What are the key differences between like and unlike terms?
  4. How do you factor an expression when needed?
  5. How do you simplify expressions involving multiple variables?

Tip: Always distribute constants carefully and combine like terms to simplify an expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

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

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 8-10