Answer:
The resulting expression is: 13r^2(2rs+4r^3-3rs^4)
Explanation:
We need to factor 26r^3s + 52r^5 – 39r^2s^4.
Since all the numbers are divisible by 13 and r^2 is common in both of them
So, factorizing the above term
26r^3s + 52r^5 – 39r^2s^4 = 13r^2(2rs+4r^3-3rs^4)
So, the resulting expression is: 13r^2(2rs+4r^3-3rs^4)