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Divide. If there is a remainder, include it as a simplified fraction.\newline(12s242s)÷6s(12s^2 - 42s) \div 6s

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Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(12s242s)÷6s(12s^2 - 42s) \div 6s
  1. Divide by 66s: We have the expression to divide: \newline(12s242s)÷6s(12s^2 - 42s) \div 6s \newlineFirst, we will divide each term in the polynomial by the monomial 66s.\newline(12s242s)÷6s(12s^2 - 42s) \div 6s \newline= \frac{1212s^22}{66s} - \frac{4242s}{66s}
  2. Divide first term: Now let's divide the first term:\newline(12s2)/(6s)(12s^2)/(6s) \newline= 12/6×s2/s12/6 \times s^2/s \newline= 2×s2 \times s\newline= 2s2s\newlineWe check for any math errors in this step.
  3. Divide second term: Next, we divide the second term:\newline(42s)/(6s)(42s)/(6s)\newline= 42/6×s/s42/6 \times s/s \newline= 7×17 \times 1\newline= 77\newlineAgain, we check for any math errors in this step.
  4. Combine results: Now we combine the results of the division of each term:\newline(12s2)/(6s)(42s)/(6s)(12s^2)/(6s) - (42s)/(6s) \newline= 2s72s - 7\newlineThis is the simplified form of the original expression after division.

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