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Simplify. Write your answer using whole numbers and variables.\newline8p27p8p7\frac{8p^2 - 7p}{8p - 7}

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Q. Simplify. Write your answer using whole numbers and variables.\newline8p27p8p7\frac{8p^2 - 7p}{8p - 7}
  1. Identify and Simplify Like Terms: Identify like terms and simplify the expression if possible.\newlineIn the given expression, 8p27p8p78p^2 - \frac{7p}{8p} - 7, we look for like terms to combine. However, there are no like terms to combine in the numerator or the denominator.
  2. Divide by Common Term: Simplify the fraction by dividing the numerator and the denominator by the common term if possible.\newlineWe notice that there is a common term 'pp' in the numerator and the denominator. However, we cannot simplify across the subtraction in the numerator or the denominator. Therefore, we cannot simplify the fraction by dividing by 'pp'.
  3. Check for Factoring: Check if the expression can be factored.\newlineThe numerator 8p27p8p^2 - 7p does not have a common factor that can be factored out, and the denominator 8p78p - 7 also does not have a common factor with the numerator. Therefore, the expression cannot be factored further.
  4. Write Final Simplified Expression: Write the final simplified expression.\newlineSince we cannot combine like terms, simplify the fraction, or factor the expression, the expression is already in its simplest form. The final simplified expression is 8p27p8p78p^2 - \frac{7p}{8p} - 7.

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