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Simplify. Write your answer using whole numbers and variables.\newline4s2−7s4s−7\frac{4s^2 - 7s}{4s - 7}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline4s2−7s4s−7\frac{4s^2 - 7s}{4s - 7}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe numerator is 4s2−7s4s^2 - 7s, and the denominator is 4s−74s - 7.
  2. Factor Out Common Factor: Factor out the greatest common factor in the numerator.\newlineThe greatest common factor of 4s24s^2 and 7s7s is ss. So we factor ss out of the numerator.\newline4s2−7s=s(4s−7)4s^2 - 7s = s(4s - 7)
  3. Rewrite with Factored Numerator: Rewrite the expression with the factored numerator.\newlineThe expression becomes:\newline(s(4s−7))/(4s−7)(s(4s - 7))/(4s - 7)
  4. Cancel Common Terms: Cancel out the common terms in the numerator and the denominator.\newlineThe term (4s−7)(4s - 7) is common to both the numerator and the denominator, so we can cancel it out.\newlines(4s−7)4s−7=s\frac{s(4s - 7)}{4s - 7} = s

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