Answer :
The expression is simplified to x
How to simplify the expression
g(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)
First, we simplify the numerator
= [tex]\frac{x (x^2 - 3^2)}{x^2 - 6x + 9}[/tex]
Now, let's solve the quadratic equation in the denominator
= [tex]\frac{x(x^2 - 3^2)}{x^2 - 3x - 3x + 9}[/tex]
= [tex]\frac{x(x^2 - 3^2)}{x(x-3) - 3(x - 3)}[/tex]
= [tex]\frac{x(x - 3) (x -3)}{(x -3) ( x-3)}[/tex]
Divide the like factors
= x
The answer is x
Thus, the expression is simplified to x
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