Divide. Write your answer in simplest form. 4p^2 - 4p + 1/6p ÷ p - 4/p + 5 ______

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Rewrite as multiplication: Write the division of the two fractions as a multiplication by the reciprocal of the second fraction. We have the expression (4p^2 - 4p + 1)/(6p) ÷ (p - 4)/(p + 5). To divide by a fraction, we multiply by its reciprocal. So, we rewrite the expression as (4p^2 - 4p + 1)/(6p) * (p + 5)/(p - 4).Multiply numerators and denominators: Multiply the numerators and the denominators of the fractions. We multiply (4p^2 - 4p + 1) by (p + 5) and 6p by (p - 4). The expression becomes ((4p^2 - 4p + 1) * (p + 5))/(6p * (p - 4)).Expand numerator: Expand the numerator. We distribute (4p^2 - 4p + 1) over (p + 5) to get 4p^3 + 20p^2 - 4p^2 - 20p + p + 5. Simplifying the terms, we get 4p^3 + 16p^2 - 19p + 5.Expand denominator: Expand the denominator. We distribute 6p over (p - 4) to get 6p^2 - 24p. The expression now looks like (4p^3 + 16p^2 - 19p + 5)/(6p^2 - 24p).Simplify expression: Simplify the expression if possible. We look for common factors in the numerator and the denominator. There are no common factors other than 1, so the expression is already in its simplest form.

Divide. Write your answer in simplest form. $\newline$ $\frac{4p^2 - 4p + 1}{6p} \div \frac{p - 4}{p + 5}$

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Divide. Write your answer in simplest form. \newline4p2−4p+16p÷p−4p+5\frac{4p^2 - 4p + 1}{6p} \div \frac{p - 4}{p + 5}6p4p2−4p+1​÷p+5p−4​

Divide. Write your answer in simplest form. $\newline$ $\frac{4p^2 - 4p + 1}{6p} \div \frac{p - 4}{p + 5}$