Algebra Examples

$- 10 r^{5} s^{2} + 18 r^{2} s^{3} - 6 r s^{4}$

Step 1

Move $18 r^{2} s^{3}$ .

$- 10 r^{5} s^{2} - 6 r s^{4} + 18 r^{2} s^{3}$

Step 2

Factor $- 2 r s^{2}$ out of $- 10 r^{5} s^{2}$ .

$- 2 r s^{2} (5 r^{4}) - 6 r s^{4} + 18 r^{2} s^{3}$

Step 3

Factor $- 2 r s^{2}$ out of $- 6 r s^{4}$ .

$- 2 r s^{2} (5 r^{4}) - 2 r s^{2} (3 s^{2}) + 18 r^{2} s^{3}$

Step 4

Factor $- 2 r s^{2}$ out of $18 r^{2} s^{3}$ .

$- 2 r s^{2} (5 r^{4}) - 2 r s^{2} (3 s^{2}) - 2 r s^{2} (- 9 r s)$

Step 5

Factor $- 2 r s^{2}$ out of $- 2 r s^{2} (5 r^{4}) - 2 r s^{2} (3 s^{2})$ .

$- 2 r s^{2} (5 r^{4} + 3 s^{2}) - 2 r s^{2} (- 9 r s)$

Step 6

Factor $- 2 r s^{2}$ out of $- 2 r s^{2} (5 r^{4} + 3 s^{2}) - 2 r s^{2} (- 9 r s)$ .

$- 2 r s^{2} (5 r^{4} + 3 s^{2} - 9 r s)$