Divide. Write your answer in simplest form. 3/12u^3 + 20u^2 ÷ 3 ______

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Write as Fraction: Write the division problem as a fraction. The division of a fraction by a number can be written as the multiplication of the fraction by the reciprocal of the number. So, we have: 3/(12u^3 + 20u^2) ÷ 3 can be rewritten as 3/(12u^3 + 20u^2) * 1/3.Multiply Fractions: Simplify the expression by multiplying the fractions. Now, multiply the numerators and the denominators: 3/(12u^3 + 20u^2) * 1/3 = 3*1/(12u^3 + 20u^2)*3.Simplify Multiplication: Simplify the multiplication. Since 3*1 = 3 and (12u^3 + 20u^2)*3 = 36u^3 + 60u^2, the expression simplifies to: 3/(36u^3 + 60u^2).Factor Out GCF: Factor out the greatest common factor (GCF) from the denominator. The GCF of 36u^3 and 60u^2 is 12u^2. Factoring out 12u^2 from the denominator gives us: 36u^3 + 60u^2 = 12u^2(3u + 5).Rewrite with Factored Denominator: Rewrite the expression with the factored denominator. The expression now becomes: 3/(12u^2(3u + 5)).Cancel Common Factors: Simplify the fraction by canceling out common factors. We can cancel out a 3 from the numerator and the 12u^2 in the denominator: 3/(12u^2(3u + 5)) = 1/(4u^2(3u + 5)).

Divide. Write your answer in simplest form. $\newline$ $\frac{3}{12}u^{3} + \frac{20u^{2}}{3}$

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Divide. Write your answer in simplest form. $\newline$ $\frac{3}{12}u^{3} + \frac{20u^{2}}{3}$