Factor -16p^3q^2+24p^2q^3-32p^4q

$- 16 p^{3} q^{2} + 24 p^{2} q^{3} - 32 p^{4} q$

Factor $- 8 p^{2} q$ out of $- 16 p^{3} q^{2} + 24 p^{2} q^{3} - 32 p^{4} q$ .

Reorder $- 16 p^{3} q^{2}$ and $24 p^{2} q^{3}$ .

$24 p^{2} q^{3} - 16 p^{3} q^{2} - 32 p^{4} q$

Factor $- 8 p^{2} q$ out of $24 p^{2} q^{3}$ .

$- 8 p^{2} q (- 3 q^{2}) - 16 p^{3} q^{2} - 32 p^{4} q$

Factor $- 8 p^{2} q$ out of $- 16 p^{3} q^{2}$ .

$- 8 p^{2} q (- 3 q^{2}) - 8 p^{2} q (2 p q) - 32 p^{4} q$

Factor $- 8 p^{2} q$ out of $- 32 p^{4} q$ .

$- 8 p^{2} q (- 3 q^{2}) - 8 p^{2} q (2 p q) - 8 p^{2} q (4 p^{2})$

Factor $- 8 p^{2} q$ out of $- 8 p^{2} q (- 3 q^{2}) - 8 p^{2} q (2 p q)$ .

$- 8 p^{2} q (- 3 q^{2} + 2 p q) - 8 p^{2} q (4 p^{2})$

Factor $- 8 p^{2} q$ out of $- 8 p^{2} q (- 3 q^{2} + 2 p q) - 8 p^{2} q (4 p^{2})$ .

$- 8 p^{2} q (- 3 q^{2} + 2 p q + 4 p^{2})$

Factor.

Factor $- 1$ out of $- 3 q^{2} + 2 p q + 4 p^{2}$ .

Reorder the expression.

Move $- 3 q^{2}$ .

$- 8 p^{2} q (2 p q + 4 p^{2} - 3 q^{2})$

Reorder $2 p q$ and $4 p^{2}$ .

$- 8 p^{2} q (4 p^{2} + 2 p q - 3 q^{2})$

Factor $- 1$ out of $4 p^{2}$ .

$- 8 p^{2} q (- (- 4 p^{2}) + 2 p q - 3 q^{2})$

Factor $- 1$ out of $2 p q$ .

$- 8 p^{2} q (- (- 4 p^{2}) - (- 2 p q) - 3 q^{2})$

Factor $- 1$ out of $- 3 q^{2}$ .

$- 8 p^{2} q (- (- 4 p^{2}) - (- 2 p q) - (3 q^{2}))$

Factor $- 1$ out of $- (- 4 p^{2}) - (- 2 p q)$ .

$- 8 p^{2} q (- (- 4 p^{2} - 2 p q) - (3 q^{2}))$

Factor $- 1$ out of $- (- 4 p^{2} - 2 p q) - (3 q^{2})$ .

$- 8 p^{2} q (- (- 4 p^{2} - 2 p q + 3 q^{2}))$

Remove unnecessary parentheses.

$- 8 p^{2} q \cdot - 1 (- 4 p^{2} - 2 p q + 3 q^{2})$

Combine exponents.

Factor out negative.

$- (- 8 p^{2} q (- 4 p^{2} - 2 p q + 3 q^{2}))$

Multiply $- 8$ by $- 1$ .

$8 (p^{2} q (- 4 p^{2} - 2 p q + 3 q^{2}))$

Remove unnecessary parentheses.

$8 p^{2} q (- 4 p^{2} - 2 p q + 3 q^{2})$

Factor.

Factor $- 1$ out of $- 4 p^{2} - 2 p q + 3 q^{2}$ .

Factor $- 1$ out of $- 4 p^{2}$ .

$8 p^{2} q (- (4 p^{2}) - 2 p q + 3 q^{2})$

Factor $- 1$ out of $- 2 p q$ .

$8 p^{2} q (- (4 p^{2}) - (2 p q) + 3 q^{2})$

Factor $- 1$ out of $3 q^{2}$ .

$8 p^{2} q (- (4 p^{2}) - (2 p q) - (- 3 q^{2}))$

Factor $- 1$ out of $- (4 p^{2}) - (2 p q)$ .

$8 p^{2} q (- (4 p^{2} + 2 p q) - (- 3 q^{2}))$

Factor $- 1$ out of $- (4 p^{2} + 2 p q) - (- 3 q^{2})$ .

$8 p^{2} q (- (4 p^{2} + 2 p q - 3 q^{2}))$

Remove unnecessary parentheses.

$8 p^{2} q \cdot - 1 (4 p^{2} + 2 p q - 3 q^{2})$

Combine exponents.

Factor out negative.

$- (8 p^{2} q (4 p^{2} + 2 p q - 3 q^{2}))$

Multiply $8$ by $- 1$ .

$- 8 (p^{2} q (4 p^{2} + 2 p q - 3 q^{2}))$

Remove unnecessary parentheses.

$- 8 p^{2} q (4 p^{2} + 2 p q - 3 q^{2})$

Factor -16p^3q^2+24p^2q^3-32p^4q

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