Simplify (12x^4(x-3)(x+5))/(30x(x+3)(x+5))

$\frac{12 x^{4} (x - 3) (x + 5)}{30 x (x + 3) (x + 5)}$

Step 1

Cancel the common factor of $12$ and $30$ .

Factor $6$ out of $12 x^{4} (x - 3) (x + 5)$ .

$\frac{6 (2 x^{4} (x - 3) (x + 5))}{30 x (x + 3) (x + 5)}$

Cancel the common factors.

Factor $6$ out of $30 x (x + 3) (x + 5)$ .

$\frac{6 (2 x^{4} (x - 3) (x + 5))}{6 (5 x (x + 3) (x + 5))}$

Cancel the common factor.

$\frac{6 (2 x^{4} (x - 3) (x + 5))}{6 (5 x (x + 3) (x + 5))}$

Rewrite the expression.

$\frac{2 x^{4} (x - 3) (x + 5)}{5 x (x + 3) (x + 5)}$

Step 2

Cancel the common factor of $x^{4}$ and $x$ .

Factor $x$ out of $2 x^{4} (x - 3) (x + 5)$ .

$\frac{x (2 x^{3} (x - 3) (x + 5))}{5 x (x + 3) (x + 5)}$

Cancel the common factors.

Factor $x$ out of $5 x (x + 3) (x + 5)$ .

$\frac{x (2 x^{3} (x - 3) (x + 5))}{x ((5 (x + 3)) (x + 5))}$

Cancel the common factor.

$\frac{x (2 x^{3} (x - 3) (x + 5))}{x ((5 (x + 3)) (x + 5))}$

Rewrite the expression.

$\frac{2 x^{3} (x - 3) (x + 5)}{(5 (x + 3)) (x + 5)}$

Step 3

Cancel the common factor of $x + 5$ .

Cancel the common factor.

$\frac{2 x^{3} (x - 3) (x + 5)}{5 (x + 3) (x + 5)}$

Rewrite the expression.

$\frac{2 x^{3} (x - 3)}{5 (x + 3)}$