The first step for solving this expression is to add the numbers on the top of the fraction. [tex]\dfrac{ x^{2}+29 }{\frac{ x^{2} - 25 x + 4}{x-4}} [/tex] Using a = [tex] \frac{a}{1} [/tex],, convert the top expression into a fraction. [tex] \dfrac{\frac{ x^{2} +29}{1}}{\frac{ x^{2} -25x +4}{x-4}}[/tex] Use the formula [tex] \dfrac{\frac{a}{b}}{\frac{c}{d}} = \frac{aXd}{bXc} [/tex],, simplify the complex fraction. [tex] \frac{( x^{2} +29)X(x-4)}{1( x^{2} -25x + 4)} [/tex] Remember that any expression multiplied by 1 remains the same,, so remove the 1 and the parenthesis off the denominator (bottom) of the fraction. [tex] \frac{( x^{2} +29)X(x-4)}{ x^{2} -25x + 4} [/tex] Now multiply each term in the first parenthesis by each term in the second parenthesis for the numerator (top) of the fraction (FOIL method). x² × x - 4x² + 29x - 29 × 4 Calculate the product of the first two numbers. x³ - 4x² + 29x - 29 × 4 Lastly,, use the rules of multiplication to calculate the expression of the last two numbers. x³ - 4x² + 29x - 116 This means that the correct answer to your question is going to be [tex] \frac{ x^{3} - 4 x^{2} +29x-116}{ x^{2} -25x +4} [/tex]. Let me know if you have any further questions. :)