The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
Read more about factorization of algebraic expression at; https://brainly.com/question/11434122
