To simplify the expression \( \frac{25x^2 + 15x}{5x^2} \), follow these steps:
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Break down the fraction: \[ \frac{25x^2 + 15x}{5x^2} = \frac{25x^2}{5x^2} + \frac{15x}{5x^2} \]
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Simplify each part:
- For \( \frac{25x^2}{5x^2} \): \[ = 5 \]
- For \( \frac{15x}{5x^2} \): \[ = \frac{15}{5x} = \frac{3}{x} \]
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Combine the results: \[ 5 + \frac{3}{x} \]
Thus, the simplified expression is: \[ 5 + \frac{3}{x} \]