Simplify (16c^4d^4-24c^2d^2)/(4c^2d^2)

$\frac{16 c^{4} d^{4} - 24 c^{2} d^{2}}{4 c^{2} d^{2}}$

Factor $8 c^{2} d^{2}$ out of $16 c^{4} d^{4} - 24 c^{2} d^{2}$ .

Factor $8 c^{2} d^{2}$ out of $16 c^{4} d^{4}$ .

$\frac{8 c^{2} d^{2} (2 c^{2} d^{2}) - 24 c^{2} d^{2}}{4 c^{2} d^{2}}$

Factor $8 c^{2} d^{2}$ out of $- 24 c^{2} d^{2}$ .

$\frac{8 c^{2} d^{2} (2 c^{2} d^{2}) + 8 c^{2} d^{2} (- 3)}{4 c^{2} d^{2}}$

Factor $8 c^{2} d^{2}$ out of $8 c^{2} d^{2} (2 c^{2} d^{2}) + 8 c^{2} d^{2} (- 3)$ .

$\frac{8 c^{2} d^{2} (2 c^{2} d^{2} - 3)}{4 c^{2} d^{2}}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 c^{2} d^{2} (2 c^{2} d^{2} - 3)$ .

$\frac{4 (2 c^{2} d^{2} (2 c^{2} d^{2} - 3))}{4 c^{2} d^{2}}$

Cancel the common factors.

Factor $4$ out of $4 c^{2} d^{2}$ .

$\frac{4 (2 c^{2} d^{2} (2 c^{2} d^{2} - 3))}{4 (c^{2} d^{2})}$

Cancel the common factor.

$\frac{4 (2 c^{2} d^{2} (2 c^{2} d^{2} - 3))}{4 (c^{2} d^{2})}$

Rewrite the expression.

$\frac{2 c^{2} d^{2} (2 c^{2} d^{2} - 3)}{c^{2} d^{2}}$

Cancel the common factor of $c^{2}$ .

Cancel the common factor.

$\frac{2 c^{2} d^{2} (2 c^{2} d^{2} - 3)}{c^{2} d^{2}}$

Rewrite the expression.

$\frac{2 d^{2} (2 c^{2} d^{2} - 3)}{d^{2}}$

Cancel the common factor of $d^{2}$ .

Cancel the common factor.

$\frac{2 d^{2} (2 c^{2} d^{2} - 3)}{d^{2}}$

Divide $2 (2 c^{2} d^{2} - 3)$ by $1$ .

$2 (2 c^{2} d^{2} - 3)$

Apply the distributive property.

$2 (2 c^{2} d^{2}) + 2 \cdot - 3$

Multiply.

Multiply $2$ by $2$ .

$4 (c^{2} d^{2}) + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$4 c^{2} d^{2} - 6$