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Divide. If there is a remainder, include it as a simplified fraction.\newline(24b2+8b)÷4b(24b^2 + 8b) \div 4b

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Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(24b2+8b)÷4b(24b^2 + 8b) \div 4b
  1. Divide Expression: We have the expression to divide: \newline(24b2+8b)÷4b(24b^2 + 8b) \div 4b\newlineFirst, we will divide each term in the polynomial by the monomial 4b4b.\newline(24b2+8b)÷4b=24b24b+8b4b(24b^2 + 8b) \div 4b = \frac{24b^2}{4b} + \frac{8b}{4b}
  2. Divide First Term: Now let's divide the first term:\newline(24b2)/(4b)=24/4×b2/b=6b(24b^2)/(4b) = 24/4 \times b^2/b = 6b\newlineThis is because 2424 divided by 44 is 66, and b2b^2 divided by bb is bb.
  3. Divide Second Term: Next, we divide the second term:\newline(8b)/(4b)=8/4×b/b=2(8b)/(4b) = 8/4 \times b/b = 2\newlineThis is because 88 divided by 44 is 22, and bb divided by bb is 11.
  4. Combine Results: Now we combine the results of the division of each term:\newline(24b2)/(4b)+(8b)/(4b)=6b+2(24b^2)/(4b) + (8b)/(4b) = 6b + 2\newlineThis is the simplified form of the original expression after division.

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