Math Problem Statement
Use the distributive property to remove the parentheses: - (y - 4y - 1)
Solution
To remove the parentheses in the expression – (y – 4y – 1) using the distributive property, you distribute the –1 (negative sign) across each term inside the parentheses:
Simplify each term:
- -1 \cdot y = -y
- -1 \cdot (-4y) = +4y (negative times negative gives a positive)
- -1 \cdot (-1) = +1
Combine all terms:
Now simplify further by combining like terms (-y + 4y):
Final Answer:
Let me know if you want a deeper explanation or if you have other questions!
Here are 5 related questions to practice:
- Simplify:
- Apply the distributive property:
- Simplify:
- Expand and simplify:
- Remove the parentheses:
Tip:
When removing parentheses with a negative sign, distribute the –1 to each term inside the parentheses and carefully handle the signs.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Simplifying Expressions
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Distributive Property of Multiplication over Addition/Subtraction
Suitable Grade Level
Grades 6-8