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Divide. If there is a remainder, include it as a simplified fraction.\newline(25b345b2)÷5b(25b^3 - 45b^2) \div 5b

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Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(25b345b2)÷5b(25b^3 - 45b^2) \div 5b
  1. Divide Terms: We have the expression to divide: \newline(25b345b2)÷5b(25b^3 - 45b^2) \div 5b\newlineFirst, we will divide each term in the polynomial by the monomial 5b5b.\newline(25b345b2)÷5b(25b^3 - 45b^2) \div 5b \newline= \frac{2525b^33}{55b} - \frac{4545b^22}{55b}
  2. Divide First Term: Now let's divide the first term:\newline(25b3)/(5b)(25b^3)/(5b) \newline=25/5×b3/b= 25/5 \times b^3/b \newline=5×b2= 5 \times b^2\newline=5b2= 5b^2
  3. Divide Second Term: Next, we divide the second term:\newline(45b2)/(5b)(45b^2)/(5b)\newline= 45/5×b2/b45/5 \times b^2/b \newline= 9×b9 \times b\newline= 9b9b
  4. Combine Results: Combine the results of the division of each term:\newline(25b345b2)÷5b(25b^3 - 45b^2) \div 5b \newline=25b35b45b25b= \frac{25b^3}{5b} - \frac{45b^2}{5b} \newline=5b29b= 5b^2 - 9b

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