Factor -26x^2y^4z^2+43x^5y^6z^5

$- 26 x^{2} y^{4} z^{2} + 43 x^{5} y^{6} z^{5}$

Step 1

Factor $- x^{2} y^{4} z^{2}$ out of $- 26 x^{2} y^{4} z^{2} + 43 x^{5} y^{6} z^{5}$ .

Reorder $- 26 x^{2} y^{4} z^{2}$ and $43 x^{5} y^{6} z^{5}$ .

$43 x^{5} y^{6} z^{5} - 26 x^{2} y^{4} z^{2}$

Factor $- x^{2} y^{4} z^{2}$ out of $43 x^{5} y^{6} z^{5}$ .

$- x^{2} y^{4} z^{2} (- 43 x^{3} y^{2} z^{3}) - 26 x^{2} y^{4} z^{2}$

Factor $- x^{2} y^{4} z^{2}$ out of $- 26 x^{2} y^{4} z^{2}$ .

$- x^{2} y^{4} z^{2} (- 43 x^{3} y^{2} z^{3}) - x^{2} y^{4} z^{2} (26)$

Factor $- x^{2} y^{4} z^{2}$ out of $- x^{2} y^{4} z^{2} (- 43 x^{3} y^{2} z^{3}) - x^{2} y^{4} z^{2} (26)$ .

$- x^{2} y^{4} z^{2} (- 43 x^{3} y^{2} z^{3} + 26)$

Step 2

Factor.

Factor $- 1$ out of $- 43 x^{3} y^{2} z^{3} + 26$ .

Factor $- 1$ out of $- 43 x^{3} y^{2} z^{3}$ .

$- x^{2} y^{4} z^{2} (- (43 x^{3} y^{2} z^{3}) + 26)$

Rewrite $26$ as $- 1 (- 26)$ .

$- x^{2} y^{4} z^{2} (- (43 x^{3} y^{2} z^{3}) - 1 (- 26))$

Factor $- 1$ out of $- (43 x^{3} y^{2} z^{3}) - 1 (- 26)$ .

$- x^{2} y^{4} z^{2} (- (43 x^{3} y^{2} z^{3} - 26))$

Remove unnecessary parentheses.

$- x^{2} y^{4} z^{2} \cdot - 1 (43 x^{3} y^{2} z^{3} - 26)$

Step 3

Combine exponents.

Factor out negative.

$- (x^{2} y^{4} z^{2} \cdot - 1 (43 x^{3} y^{2} z^{3} - 26))$

Multiply $- 1$ by $- 1$ .

$1 (x^{2} y^{4} z^{2} (43 x^{3} y^{2} z^{3} - 26))$

Multiply $x^{2}$ by $1$ .

$x^{2} (y^{4} z^{2} (43 x^{3} y^{2} z^{3} - 26))$

Step 4

Remove unnecessary parentheses.

$x^{2} y^{4} z^{2} (43 x^{3} y^{2} z^{3} - 26)$