Use the Distributive Property to expand 4(x+3).
Understand the Problem
The question asks to use the distributive property to expand the expression 4(x+3). This involves multiplying the term outside the parentheses (4) by each term inside the parentheses (x and 3).
Answer
$4x + 12$
Answer for screen readers
$4x + 12$
Steps to Solve
- Apply the distributive property
Multiply 4 by each term inside the parentheses: $4 * x$ and $4 * 3$.
- Multiply 4 by $x$
$4 * x = 4x$
- Multiply 4 by 3
$4 * 3 = 12$
- Combine the results
Combine the two terms obtained in the previous steps: $4x + 12$
$4x + 12$
More Information
The distributive property allows us to simplify expressions by multiplying a single term by each term inside a set of parentheses.
Tips
A common mistake is to only multiply 4 by 'x' but not by 3 or vice versa. Remember to distribute the 4 to both terms inside the parentheses.
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