Question

subtract.
\\(\frac{x^2}{x + 9} - \frac{81}{x + 9}\\)
simplify your answer as much as

Explanation:

Step1: Combine the fractions

Since the denominators are equal, subtract the numerators over the common denominator:
$\frac{x^2 - 81}{x+9}$

Step2: Factor the numerator

Factor the difference of squares $x^2 - 81$:
$\frac{(x+9)(x-9)}{x+9}$

Step3: Cancel common factors

Cancel the non-zero common factor $x+9$:
$x-9$ (where $x
eq -9$)

Answer:

$x - 9$ (with the restriction $x
eq -9$)