Question

Divide.x^2+9+20/x^2-25 x+4/x-4

Answer 1

The first step for solving this expression is to add the numbers on the top of the fraction.
$\dfrac{ x^{2}+29 }{\frac{ x^{2} - 25 x + 4}{x-4}}$
Using a = $\frac{a}{1}$,, convert the top expression into a fraction.
$\dfrac{\frac{ x^{2} +29}{1}}{\frac{ x^{2} -25x +4}{x-4}}$
Use the formula $\dfrac{\frac{a}{b}}{\frac{c}{d}} = \frac{aXd}{bXc}$,, simplify the complex fraction.
$\frac{( x^{2} +29)X(x-4)}{1( x^{2} -25x + 4)}$
Remember that any expression multiplied by 1 remains the same,, so remove the 1 and the parenthesis off the denominator (bottom) of the fraction.
$\frac{( x^{2} +29)X(x-4)}{ x^{2} -25x + 4}$
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 $\frac{ x^{3} - 4 x^{2} +29x-116}{ x^{2} -25x +4}$.
Let me know if you have any further questions.
:)