Question
\( 1 \leftarrow \left\lvert\, \begin{array}{l}\text { Multiply. } \\ (n+8)^{2} \\ \\ \\ (n+8)^{2}=\square \\ (\text { Simplify your answer.) }\end{array}\right. \)
Ask by Garza Barber. in the United Arab Emirates
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
(n+8)^2 = n^2 + 16n + 64
\]
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The Deep Dive
To multiply \( (n+8)^{2} \), you can use the expansion formula \( (a+b)^{2} = a^{2} + 2ab + b^{2} \). Here, \( a = n \) and \( b = 8 \). Thus, \( (n+8)^{2} = n^{2} + 2(n)(8) + 8^{2} \). Expanding this gives you \( n^{2} + 16n + 64 \). So, the simplified answer is \( n^{2} + 16n + 64 \).