Question
\begin{tabular}{l} Multiply. \\ \( \qquad(u+2)(u-4) \) \\ Simplify your answer. \\ \( \square \) \\ \( \square^{\square} \) \\ \hline\end{tabular}
Ask by Simmons Ayala. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u^2 - 2u - 8 \)
Solution
Calculate or simplify the expression \( (u+2)(u-4) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(u+2\right)\left(u-4\right)\)
- step1: Apply the distributive property:
\(u\times u-u\times 4+2u-2\times 4\)
- step2: Multiply the terms:
\(u^{2}-4u+2u-8\)
- step3: Add the terms:
\(u^{2}-2u-8\)
The multiplication of \( (u+2)(u-4) \) simplifies to \( u^2 - 2u - 8 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To multiply the expression \( (u+2)(u-4) \), you can use the distributive property, also known as the FOIL method (First, Outside, Inside, Last). First, multiply the first terms: \( u \cdot u = u^2 \). Next, multiply the outside terms: \( u \cdot -4 = -4u \). Then, the inside terms: \( 2 \cdot u = 2u \). Finally, the last terms: \( 2 \cdot -4 = -8 \). Now, combine all these results: \[ u^2 - 4u + 2u - 8 = u^2 - 2u - 8. \] So, the simplified answer is \( u^2 - 2u - 8 \). Thus, \( \square = u^2 - 2u - 8 \) \( \square^{\square} \) = Not applicable, as it’s a polynomial expression.
