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Simplify. Write your answer using whole numbers and variables.\newlines2−6s5s\frac{s^2 - 6s}{5s}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlines2−6s5s\frac{s^2 - 6s}{5s}
  1. Identify common factor: Identify the common factor in the numerator. The common factor in the terms s2s^2 and −6s-6s is ss.
  2. Factor out ss: Factor out the common factor ss from the numerator.s(s−6)s(s - 6) is the factored form of the numerator s2−6ss^2 - 6s.
  3. Simplify by division: Simplify the expression by dividing the numerator by the denominator.\newlineSince we have s(s−6)s(s - 6) in the numerator and 5s5s in the denominator, we can divide both the numerator and the denominator by ss.\newlines(s−6)5s=s5s⋅(s−6)\frac{s(s - 6)}{5s} = \frac{s}{5s} \cdot (s - 6)
  4. Cancel out s terms: Cancel out the common s terms.\newlineThe ss in the numerator and the ss in the denominator cancel each other out because ss=1\frac{s}{s} = 1.\newlines5s⋅(s−6)=15⋅(s−6)\frac{s}{5s} \cdot (s - 6) = \frac{1}{5} \cdot (s - 6)
  5. Distribute 15\frac{1}{5}: Distribute the 15\frac{1}{5} across the terms in the parentheses.\newlineMultiplying each term inside the parentheses by 15\frac{1}{5} gives us the final simplified expression.\newline15\frac{1}{5} * (s−6)(s - 6) = 15s−65\frac{1}{5}s - \frac{6}{5}

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