Multiply. Write your answer in simplest form. g + 4/g - 4 * g^2 + 7g + 6/2g ______

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Identify expressions to multiply: Identify the expressions to be multiplied. We have two fractions to multiply: (g + 4)/(g - 4) and (g^2 + 7g + 6)/(2g).Factor second numerator: Factor the second numerator if possible. The second numerator is a quadratic expression: g^2 + 7g + 6. We look for two numbers that multiply to 6 and add to 7. These numbers are 6 and 1. So, g^2 + 7g + 6 can be factored as (g + 6)(g + 1).Write multiplication of fractions: Write the multiplication of the two fractions with the factored numerator. The expression becomes: (g + 4)/(g - 4) * (g + 6)(g + 1)/(2g).Multiply numerators and denominators: Multiply the numerators and the denominators. When multiplying fractions, we multiply the numerators together and the denominators together. The expression becomes: ((g + 4) * (g + 6) * (g + 1)) / ((g - 4) * 2g).Simplify expression if possible: Simplify the expression if possible. We look for common factors in the numerator and the denominator that can be canceled out. There are no common factors between the numerator and the denominator.Expand numerators if necessary: Expand the numerators if necessary to check for any simplification. Multiplying out the numerators gives us: (g + 4) * (g + 6) * (g + 1) = (g^2 + 10g + 24) * (g + 1). Expanding this gives us: g^3 + 10g^2 + 24g + g^2 + 10g + 24 = g^3 + 11g^2 + 34g + 24.Write final expression: Write the final expression. The final expression is: (g^3 + 11g^2 + 34g + 24) / (2g(g - 4)).Check for further simplification: Check if the final expression can be simplified further. There are no common factors between the numerator and the denominator that can be canceled out.

Multiply. Write your answer in simplest form. $\newline$ $\frac{g + 4}{g - 4} \times \frac{g^2 + 7g + 6}{2g}$

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Multiply. Write your answer in simplest form.\newlineg+4g−4×g2+7g+62g\frac{g + 4}{g - 4} \times \frac{g^2 + 7g + 6}{2g}g−4g+4​×2gg2+7g+6​

Multiply. Write your answer in simplest form. $\newline$ $\frac{g + 4}{g - 4} \times \frac{g^2 + 7g + 6}{2g}$