Factor -54q^3r-24q^2r^3+42qr

$- 54 q^{3} r - 24 q^{2} r^{3} + 42 q r$

Step 1

Reorder $- 54 q^{3} r$ and $- 24 q^{2} r^{3}$ .

$- 24 q^{2} r^{3} - 54 q^{3} r + 42 q r$

Step 2

Factor $- 6 q r$ out of $- 24 q^{2} r^{3}$ .

$- 6 q r (4 q r^{2}) - 54 q^{3} r + 42 q r$

Step 3

Factor $- 6 q r$ out of $- 54 q^{3} r$ .

$- 6 q r (4 q r^{2}) - 6 q r (9 q^{2}) + 42 q r$

Step 4

Factor $- 6 q r$ out of $42 q r$ .

$- 6 q r (4 q r^{2}) - 6 q r (9 q^{2}) - 6 q r (- 7)$

Step 5

Factor $- 6 q r$ out of $- 6 q r (4 q r^{2}) - 6 q r (9 q^{2})$ .

$- 6 q r (4 q r^{2} + 9 q^{2}) - 6 q r (- 7)$

Step 6

Factor $- 6 q r$ out of $- 6 q r (4 q r^{2} + 9 q^{2}) - 6 q r (- 7)$ .

$- 6 q r (4 q r^{2} + 9 q^{2} - 7)$