Pregunta
Find the square. Simplify your answer. \( (2 n+4)^{2} \)
Ask by Young Pollard. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( (2n+4)^2 = 4n^2 + 16n + 16 \)
Solución
Calculate or simplify the expression \( (2n+4)^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(2n+4\right)^{2}\)
- step1: Calculate:
\(4n^{2}+16n+16\)
The square of \(2n+4\) is \(4n^2+16n+16\).
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Simplifique esta solución Mind Expander
To find the square of \( (2n + 4) \), you'll use the formula \( (a + b)^2 = a^2 + 2ab + b^2 \). Here, \( a = 2n \) and \( b = 4 \). Calculating each term: 1. \( a^2 = (2n)^2 = 4n^2 \) 2. \( 2ab = 2 \cdot (2n) \cdot 4 = 16n \) 3. \( b^2 = 4^2 = 16 \) Putting it all together, we have: \[ (2n + 4)^2 = 4n^2 + 16n + 16. \] So, the simplified answer is \( 4n^2 + 16n + 16 \).
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