Algebra Examples

$10 r^{3} s^{2} - 5 r^{2} s + 25 r^{2} s^{2}$

Step 1

Factor $5 r^{2} s$ out of $10 r^{3} s^{2}$ .

$5 r^{2} s (2 r s) - 5 r^{2} s + 25 r^{2} s^{2}$

Step 2

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

$5 r^{2} s (2 r s) + 5 r^{2} s (- 1) + 25 r^{2} s^{2}$

Step 3

Factor $5 r^{2} s$ out of $25 r^{2} s^{2}$ .

$5 r^{2} s (2 r s) + 5 r^{2} s (- 1) + 5 r^{2} s (5 s)$

Step 4

Factor $5 r^{2} s$ out of $5 r^{2} s (2 r s) + 5 r^{2} s (- 1)$ .

$5 r^{2} s (2 r s - 1) + 5 r^{2} s (5 s)$

Step 5

Factor $5 r^{2} s$ out of $5 r^{2} s (2 r s - 1) + 5 r^{2} s (5 s)$ .

$5 r^{2} s (2 r s - 1 + 5 s)$