Multiply. Write your answer in simplest form. 3q + 5/3q - 5 * (2q + 3) ______

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Rewrite Multiplication Problem: Rewrite the multiplication problem to clearly show the two expressions that need to be multiplied. The problem is (3q + 5)/(3q - 5) * (2q + 3).Identify Expression to Multiply: Identify the expression that will be multiplied. We will multiply the fraction (3q + 5)/(3q - 5) by the binomial (2q + 3).Rewrite Binomial as Fraction: Rewrite the binomial as a fraction. The binomial (2q + 3) can be written as a fraction by placing it over 1, so it becomes (2q + 3)/1.Multiply Numerators and Denominators: Multiply the numerators and the denominators. The expression becomes ((3q + 5) * (2q + 3)) / ((3q - 5) * 1).Perform Multiplication in Numerator: Perform the multiplication in the numerator. Use the distributive property (FOIL) to multiply the two binomials: (3q + 5) * (2q + 3) = 3q * 2q + 3q * 3 + 5 * 2q + 5 * 3.Calculate Products in Numerator: Calculate the products in the numerator. 3q * 2q = 6q^2, 3q * 3 = 9q, 5 * 2q = 10q, and 5 * 3 = 15. So the numerator becomes 6q^2 + 9q + 10q + 15.Combine Like Terms in Numerator: Combine like terms in the numerator. 9q + 10q = 19q, so the numerator is now 6q^2 + 19q + 15.Denominator Remains Unchanged: The denominator remains unchanged since it is being multiplied by 1. So the denominator is 3q - 5.Write Final Expression: Write the final expression. The product of the two expressions is (6q^2 + 19q + 15) / (3q - 5).Check for Further Simplification: Check if the expression can be simplified further. The numerator and the denominator do not have any common factors other than 1, so the expression is already in its simplest form.

Multiply. Write your answer in simplest form. $\newline$ $\frac{3q + 5}{3q - 5} \times (2q + 3)$

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Multiply. Write your answer in simplest form. $\newline$ $\frac{3q + 5}{3q - 5} \times (2q + 3)$