Pregunta
Find the quotient of \( 16 p^{4}-12 p^{2} \) divided by \( 2 p^{2} \)
Ask by Wheeler Mccoy. in the United States
Feb 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The quotient is \(8p^{2}-6\).
Solución
Calculate or simplify the expression \( (16p^4-12p^2)/(2p^2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(16p^{4}-12p^{2}\right)}{2p^{2}}\)
- step1: Remove the parentheses:
\(\frac{16p^{4}-12p^{2}}{2p^{2}}\)
- step2: Factor:
\(\frac{2p^{2}\left(8p^{2}-6\right)}{2p^{2}}\)
- step3: Reduce the fraction:
\(8p^{2}-6\)
The quotient of \(16p^{4}-12p^{2}\) divided by \(2p^{2}\) is \(8p^{2}-6\).
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Simplifique esta solución Bonus Knowledge
To perform the division of \( 16 p^{4}-12 p^{2} \) by \( 2 p^{2} \), we can split it into two separate fractions: \[ \frac{16 p^{4}}{2 p^{2}} - \frac{12 p^{2}}{2 p^{2}} \] Now, simplifying each term: 1. For the first term: \[ \frac{16 p^{4}}{2 p^{2}} = 8 p^{2} \] 2. For the second term: \[ \frac{12 p^{2}}{2 p^{2}} = 6 \] Combining these results gives us the quotient: \[ 8 p^{2} - 6 \] Thus, the final answer is: \[ 8 p^{2} - 6 \]
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