Algebra Examples

$24 r^{4} s^{7} - 6 r^{2} s^{3} + 12 r^{3} s^{4}$

Step 1

Factor $6 r^{2} s^{3}$ out of $24 r^{4} s^{7}$ .

$6 r^{2} s^{3} (4 r^{2} s^{4}) - 6 r^{2} s^{3} + 12 r^{3} s^{4}$

Step 2

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

$6 r^{2} s^{3} (4 r^{2} s^{4}) + 6 r^{2} s^{3} (- 1) + 12 r^{3} s^{4}$

Step 3

Factor $6 r^{2} s^{3}$ out of $12 r^{3} s^{4}$ .

$6 r^{2} s^{3} (4 r^{2} s^{4}) + 6 r^{2} s^{3} (- 1) + 6 r^{2} s^{3} (2 r s)$

Step 4

Factor $6 r^{2} s^{3}$ out of $6 r^{2} s^{3} (4 r^{2} s^{4}) + 6 r^{2} s^{3} (- 1)$ .

$6 r^{2} s^{3} (4 r^{2} s^{4} - 1) + 6 r^{2} s^{3} (2 r s)$

Step 5

Factor $6 r^{2} s^{3}$ out of $6 r^{2} s^{3} (4 r^{2} s^{4} - 1) + 6 r^{2} s^{3} (2 r s)$ .

$6 r^{2} s^{3} (4 r^{2} s^{4} - 1 + 2 r s)$