Question

G(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)

Answer 1

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

= $\frac{x (x^2 - 3^2)}{x^2 - 6x + 9}$

Now, let's solve the quadratic equation in the denominator

= $\frac{x(x^2 - 3^2)}{x^2 - 3x - 3x + 9}$

= $\frac{x(x^2 - 3^2)}{x(x-3) - 3(x - 3)}$

= $\frac{x(x - 3) (x -3)}{(x -3) ( x-3)}$

Divide the like factors

= x

The answer is x

Thus, the expression is simplified to x

Learn more about algebraic expressions here:

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