Find the Holes in the Graph y=((x-4)(x+5))/((x+5)(x+5))

$y = \frac{(x - 4) (x + 5)}{(x + 5) (x + 5)}$

Factor $(x + 5) (x + 5)$ .

Raise $x + 5$ to the power of $1$ .

$y = \frac{(x - 4) (x + 5)}{(x + 5) (x + 5)}$

Raise $x + 5$ to the power of $1$ .

$y = \frac{(x - 4) (x + 5)}{(x + 5) (x + 5)}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = \frac{(x - 4) (x + 5)}{{(x + 5)}^{1 + 1}}$

Add $1$ and $1$ .

$y = \frac{(x - 4) (x + 5)}{{(x + 5)}^{2}}$

Cancel the common factor of $x + 5$ and ${(x + 5)}^{2}$ .

Factor $x + 5$ out of $(x - 4) (x + 5)$ .

$y = \frac{(x + 5) (x - 4)}{{(x + 5)}^{2}}$

Cancel the common factors.

Factor $x + 5$ out of ${(x + 5)}^{2}$ .

$y = \frac{(x + 5) (x - 4)}{(x + 5) (x + 5)}$

Cancel the common factor.

$y = \frac{(x + 5) (x - 4)}{(x + 5) (x + 5)}$

Rewrite the expression.

$y = \frac{x - 4}{x + 5}$

Since no factors can be removed from the denominator, there are no holes in the graph.

No holes