Multiply. Write your answer in simplest form. 2q + 3/q^2 * (10q^2 - 13q + 4) ______

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Identify expressions: Identify the expressions to be multiplied. We have the expression (2q + 3)/q^2 to be multiplied by (10q^2 - 13q + 4).Multiply expressions: Multiply the expressions. To multiply the expressions, we multiply the numerators together and place the result over the common denominator. The expression becomes: ((2q + 3) * (10q^2 - 13q + 4))/q^2.Distribute terms: Distribute the terms in the numerators. We distribute (2q + 3) across (10q^2 - 13q + 4) to get: 2q * 10q^2 + 2q * (-13q) + 2q * 4 + 3 * 10q^2 + 3 * (-13q) + 3 * 4.Perform multiplication: Perform the multiplication. Now we calculate each term: 2q * 10q^2 = 20q^3 2q * (-13q) = -26q^2 2q * 4 = 8q 3 * 10q^2 = 30q^2 3 * (-13q) = -39q 3 * 4 = 12 So the expression becomes: (20q^3 - 26q^2 + 8q + 30q^2 - 39q + 12)/q^2.Combine like terms: Combine like terms in the numerator. We combine the q^2 terms and the q terms: 20q^3 + (-26q^2 + 30q^2) + (8q - 39q) + 12 This simplifies to: 20q^3 + 4q^2 - 31q + 12. So the expression is now: (20q^3 + 4q^2 - 31q + 12)/q^2.Simplify expression: Simplify the expression by canceling out common factors. We notice that each term in the numerator has at least a factor of q^2. However, since the highest power of q in the numerator is q^3, we cannot cancel out the entire q^2 from the denominator across all terms. We can only simplify the terms that have q^2 as a factor. The expression becomes: 20q - 31 + 12/q^2.

Multiply. Write your answer in simplest form. $\newline$ $\frac{2q + 3}{q^2} \times (10q^2 - 13q + 4)$

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Multiply. Write your answer in simplest form. $\newline$ $\frac{2q + 3}{q^2} \times (10q^2 - 13q + 4)$