Factor 26r^3s+52r^5-39r^2s^4

$26 r^{3} s + 52 r^{5} - 39 r^{2} s^{4}$

Step 1

Reorder the expression.

Move $26 r^{3} s$ .

$52 r^{5} - 39 r^{2} s^{4} + 26 r^{3} s$

Reorder $52 r^{5}$ and $- 39 r^{2} s^{4}$ .

$- 39 r^{2} s^{4} + 52 r^{5} + 26 r^{3} s$

Step 2

Factor $- 13 r^{2}$ out of $- 39 r^{2} s^{4}$ .

$- 13 r^{2} (3 s^{4}) + 52 r^{5} + 26 r^{3} s$

Step 3

Factor $- 13 r^{2}$ out of $52 r^{5}$ .

$- 13 r^{2} (3 s^{4}) - 13 r^{2} (- 4 r^{3}) + 26 r^{3} s$

Step 4

Factor $- 13 r^{2}$ out of $26 r^{3} s$ .

$- 13 r^{2} (3 s^{4}) - 13 r^{2} (- 4 r^{3}) - 13 r^{2} (- 2 r s)$

Step 5

Factor $- 13 r^{2}$ out of $- 13 r^{2} (3 s^{4}) - 13 r^{2} (- 4 r^{3})$ .

$- 13 r^{2} (3 s^{4} - 4 r^{3}) - 13 r^{2} (- 2 r s)$

Step 6

Factor $- 13 r^{2}$ out of $- 13 r^{2} (3 s^{4} - 4 r^{3}) - 13 r^{2} (- 2 r s)$ .

$- 13 r^{2} (3 s^{4} - 4 r^{3} - 2 r s)$