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Simplify. Write your answer using whole numbers and variables.\newlineq9q22q\frac{q}{9q^2 - 2q}

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Q. Simplify. Write your answer using whole numbers and variables.\newlineq9q22q\frac{q}{9q^2 - 2q}
  1. Identify Common Factors: Identify the terms in the expression and look for common factors. The expression is q9q22q\frac{q}{9q^2} - 2q. We can see that qq is a common factor in both terms.
  2. Factor Out Common Factor: Factor out the common factor qq from both terms.\newlineWe can factor qq out from the first term q9q2\frac{q}{9q^2}, which simplifies to 19q\frac{1}{9q}. For the second term, factoring out qq from 2q-2q gives us 2-2.\newlineSo, the expression becomes 19q2\frac{1}{9q} - 2.
  3. Combine Terms: Combine the terms.\newlineSince the terms are not like terms, we cannot combine them further. The expression is already simplified.