Use the distributive property to remove the parentheses: (u-6)2
Understand the Problem
This question requires us to use the distributive property to expand the expression (u-6)2. This involves multiplying the term outside parenthesis (which is 2) with each term inside the parenthesis (u and -6).
Answer
$2u - 12$
Answer for screen readers
$2u - 12$
Steps to Solve
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Rewrite the expression To make the distribution clearer, we can rewrite the expression as: $2(u-6)$
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Apply the distributive property Multiply each term inside the parenthesis by 2: $2 * u - 2 * 6$
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Simplify Perform the multiplications: $2u - 12$
$2u - 12$
More Information
The distributive property is a fundamental concept in algebra that allows us to multiply a single term by multiple terms inside a set of parentheses.
Tips
A common mistake is to only multiply the first term inside the parenthesis by the term outside, forgetting to distribute to all terms. For example, incorrectly calculating $2(u-6)$ as $2u - 6$. Remember to multiply both $u$ and $-6$ by $2$.
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