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Multiply. Write your answer in simplest form. \newlines8×(2s−5)\frac{s}{8} \times (2s - 5)

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Full solution

Q. Multiply. Write your answer in simplest form. \newlines8×(2s−5)\frac{s}{8} \times (2s - 5)
  1. Multiply Fraction by Binomial: Multiply the fraction s8\frac{s}{8} by the binomial (2s−5)(2s - 5). To multiply a fraction by a binomial, we multiply the numerator of the fraction by each term in the binomial and place the result over the original denominator. Calculation: s8×(2s−5)=s×2s8−s×58=2s28−5s8\frac{s}{8} \times (2s - 5) = \frac{s \times 2s}{8} - \frac{s \times 5}{8} = \frac{2s^2}{8} - \frac{5s}{8}.
  2. Simplify Multiplication Results: Simplify the terms obtained from the multiplication.\newlineWe can simplify each term by dividing the coefficients by the denominator if possible.\newlineCalculation: (2s2)/8−(5s)/8=s2/4−5s/8(2s^2)/8 - (5s)/8 = s^2/4 - 5s/8.
  3. Write Final Answer: Write the final answer in the simplest form.\newlineSince the terms s24\frac{s^2}{4} and 5s8\frac{5s}{8} have different denominators, we cannot combine them further. Therefore, the expression is already in its simplest form.\newlineFinal Answer: s24−5s8\frac{s^2}{4} - \frac{5s}{8}.

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