Divide. Write your answer in simplest form. 25d + 20/7d^2 ÷ 3d - 1/3d + 2 ______

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Rewrite as multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. The original problem is: (25d + 20)/(7d^2) ÷ (3d - 1)/(3d + 2) We can rewrite this as: (25d + 20)/(7d^2) * (3d + 2)/(3d - 1)Factor out common factor: Factor out the common factor in the numerator of the first fraction if possible. In the numerator of the first fraction, 25d + 20, we can factor out a 5: 5(5d + 4) The expression now looks like: (5(5d + 4))/(7d^2) * (3d + 2)/(3d - 1)Multiply numerators and denominators: Multiply the numerators and the denominators of the two fractions. The numerators are (5(5d + 4)) and (3d + 2), and the denominators are (7d^2) and (3d - 1). Multiplying the numerators: (5(5d + 4))(3d + 2) Multiplying the denominators: (7d^2)(3d - 1) The expression now looks like: ((5(5d + 4))(3d + 2))/((7d^2)(3d - 1))Simplify by expanding and canceling: Simplify the expression by expanding the numerators and denominators if possible and then canceling out common factors. Expanding the numerator: 5(5d + 4)(3d + 2) = 5(15d^2 + 10d + 12d + 8) = 5(15d^2 + 22d + 8) Expanding the denominator: (7d^2)(3d - 1) = 21d^3 - 7d^2 The expression now looks like: (5(15d^2 + 22d + 8))/(21d^3 - 7d^2)Check for common factors: Check for any common factors that can be canceled out from the numerator and the denominator. There are no common factors between the numerator 5(15d^2 + 22d + 8) and the denominator 21d^3 - 7d^2. Therefore, the expression is already in its simplest form.Write final answer: Write the final answer. The simplest form of the expression is: (5(15d^2 + 22d + 8))/(21d^3 - 7d^2)

Divide. Write your answer in simplest form. $\newline$ $\frac{25d + 20}{7d^2} \div \frac{3d - 1}{3d + 2}$

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Divide. Write your answer in simplest form. \newline25d+207d2÷3d−13d+2\frac{25d + 20}{7d^2} \div \frac{3d - 1}{3d + 2}7d225d+20​÷3d+23d−1​

Divide. Write your answer in simplest form. $\newline$ $\frac{25d + 20}{7d^2} \div \frac{3d - 1}{3d + 2}$