Distributive Property: -3(x - 6)
Understand the Problem
The question is asking for the application of the distributive property to simplify the expression -3(x - 6). This involves multiplying -3 by each term inside the parentheses.
Answer
The simplified expression is $-3x + 18$.
Answer for screen readers
The simplified expression is $-3x + 18$.
Steps to Solve
- Apply the Distributive Property
To simplify the expression, we will multiply $-3$ by each term inside the parentheses.
This means we will compute: $$ -3 \cdot x $$ and $$ -3 \cdot (-6) $$
- Calculate Each Term
First, we calculate $-3 \cdot x$: $$ -3x $$
Next, we calculate $-3 \cdot (-6)$: $$ 18 $$
- Combine the Results
Now, we combine the results from the previous calculations: $$ -3x + 18 $$
Thus, the simplified expression is: $$ -3x + 18 $$
The simplified expression is $-3x + 18$.
More Information
The distributive property is a crucial aspect of algebra that allows you to simplify expressions. By distributing a common factor across terms, you condense the expression, making it easier to work with.
Tips
- Forgetting to multiply both terms in the parentheses. Make sure to apply the distributive property correctly to all terms.
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