Use the distributive property to remove the parentheses: -5(-6y + 2x - 4)
Understand the Problem
The question is asking us to apply the distributive property to the expression -5(-6y + 2x - 4) in order to simplify it by removing the parentheses.
Answer
The simplified expression is \(30y - 10x + 20\).
Answer for screen readers
The simplified expression is (30y - 10x + 20).
Steps to Solve
- Apply the Distributive Property
To use the distributive property, we multiply the term outside the parentheses by each term inside the parentheses. Here, we need to multiply (-5) by each of (-6y), (2x), and (-4).
- Multiply (-5) by (-6y)
Calculating the first term: $$ -5 \times -6y = 30y $$
- Multiply (-5) by (2x)
Now, calculate the second term: $$ -5 \times 2x = -10x $$
- Multiply (-5) by (-4)
Finally, calculate the third term: $$ -5 \times -4 = 20 $$
- Combine the Results
Now, we combine all the results obtained from the multiplication: $$ 30y - 10x + 20 $$
The simplified expression is (30y - 10x + 20).
More Information
The distributive property allows us to expand expressions effectively. Here, every term inside the parentheses was multiplied by (-5), resulting in a three-term expression that is easier to work with.
Tips
- Forgetting to change the signs when multiplying two negative numbers.
- Not distributing the term to all parts inside the parentheses.
- Losing track of negative signs during multiplication.
AI-generated content may contain errors. Please verify critical information
