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Simplify. Write your answer using whole numbers and variables.\newline7q2−3q7q−3\frac{7q^2 - 3q}{7q - 3}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline7q2−3q7q−3\frac{7q^2 - 3q}{7q - 3}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe numerator is 7q2−3q7q^2 - 3q, and the denominator is 7q−37q - 3.
  2. Factor Out Common Term: Factor out the common term in the numerator.\newlineThe common term in the numerator is qq. Factoring qq out of 7q2−3q7q^2 - 3q gives us q(7q−3)q(7q - 3).
  3. Simplify by Canceling: Simplify the expression by canceling out the common factor.\newlineThe term (7q−3)(7q - 3) appears in both the numerator and the denominator, so we can cancel it out. This leaves us with qq in the numerator.
  4. Write Final Expression: Write the final simplified expression.\newlineAfter canceling out the common factor, the simplified expression is qq.

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