Factor -32x^3z+41x^4y

$- 32 x^{3} z + 41 x^{4} y$

Step 1

Factor $- x^{3}$ out of $- 32 x^{3} z + 41 x^{4} y$ .

Reorder $- 32 x^{3} z$ and $41 x^{4} y$ .

$41 x^{4} y - 32 x^{3} z$

Factor $- x^{3}$ out of $41 x^{4} y$ .

$- x^{3} (- 41 x y) - 32 x^{3} z$

Factor $- x^{3}$ out of $- 32 x^{3} z$ .

$- x^{3} (- 41 x y) - x^{3} (32 z)$

Factor $- x^{3}$ out of $- x^{3} (- 41 x y) - x^{3} (32 z)$ .

$- x^{3} (- 41 x y + 32 z)$

Step 2

Factor.

Factor $- 1$ out of $- 41 x y + 32 z$ .

Factor $- 1$ out of $- 41 x y$ .

$- x^{3} (- (41 x y) + 32 z)$

Factor $- 1$ out of $32 z$ .

$- x^{3} (- (41 x y) - (- 32 z))$

Factor $- 1$ out of $- (41 x y) - (- 32 z)$ .

$- x^{3} (- (41 x y - 32 z))$

Remove unnecessary parentheses.

$- x^{3} \cdot - 1 (41 x y - 32 z)$

Step 3

Combine exponents.

Factor out negative.

$- (x^{3} \cdot - 1 (41 x y - 32 z))$

Multiply $- 1$ by $- 1$ .

$1 (x^{3} (41 x y - 32 z))$

Multiply $x^{3}$ by $1$ .

$x^{3} (41 x y - 32 z)$