Pregunta
What is \( \left(12 b x^{2}+3 x^{2}-9 b x\right) \) divided by \( (3 b x) \)
Ask by Rose Rogers. in the United States
Feb 24,2025
Solución de inteligencia artificial de Upstudy
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The simplified result is \( \frac{4xb + x - 3b}{b} \).
Solución
Calculate or simplify the expression \( (12b*x^2+3*x^2-9b*x)/(3b*x) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(12bx^{2}+3x^{2}-9bx\right)}{3bx}\)
- step1: Remove the parentheses:
\(\frac{12bx^{2}+3x^{2}-9bx}{3bx}\)
- step2: Factor:
\(\frac{3x\left(4xb+x-3b\right)}{3bx}\)
- step3: Reduce the fraction:
\(\frac{4xb+x-3b}{b}\)
The result of dividing \(12b x^{2}+3 x^{2}-9b x\) by \(3b x\) is \( \frac{4xb+x-3b}{b} \).
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Simplifique esta solución Extra Insights
To divide the expression \( (12 b x^{2}+3 x^{2}-9 b x) \) by \( (3 b x) \), we can start by breaking down each term in the numerator. 1. \( \frac{12 b x^{2}}{3 b x} = \frac{12}{3} \cdot \frac{b x^{2}}{b x} = 4x \) 2. \( \frac{3 x^{2}}{3 b x} = \frac{3}{3} \cdot \frac{x^{2}}{x} = \frac{1}{b} x \) 3. \( \frac{-9 b x}{3 b x} = \frac{-9}{3} = -3 \) Now, we can combine these results: \[ 4x + \frac{1}{b} x - 3 \] So, \( \left(12 b x^{2}+3 x^{2}-9 b x\right) \div (3 b x) = 4x + \frac{1}{b} x - 3 \).
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