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Simplify. Write your answer using whole numbers and variables.\newline2q2−7q31q\frac{2q^2 - 7q}{31q}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline2q2−7q31q\frac{2q^2 - 7q}{31q}
  1. Identify Terms and Factors: Identify the terms in the expression and look for common factors.\newlineThe expression is 2q2−7q31q2q^2 - \frac{7q}{31q}. We can see that there is a common factor of qq in the numerator and the denominator of the second term.
  2. Simplify Second Term: Simplify the second term by canceling out the common factor of qq. The qq in the numerator and the qq in the denominator of the second term cancel each other out, so we have: 2q2−7312q^2 - \frac{7}{31}
  3. Combine Like Terms: Since there are no like terms to combine, the expression is already simplified.\newlineThe first term, 2q22q^2, does not have any common factors with the second term, 731\frac{7}{31}, and they are not like terms, so we cannot simplify any further.
  4. Write Final Expression: Write the final simplified expression.\newlineThe final simplified expression is:\newline2q2−7312q^2 - \frac{7}{31}

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