Respuesta :
Answer:
The Given Expression is
→[tex]26r^3s + 52r^5 -39r^2s^4\\13\times 2\times r\times r^2 \times s + 13\times 2\times 2\times r^2\times r^2\times r- 13 \times 3\times r^2\times s \times s^3\\\\\text{Taking out common factors}\\\\13r^2(2 rs + 2\times 2 r^3 -3 s^4)\\\\13r^2(2 r s+ 4 r^3 - 3 s^4)[/tex]
Option [tex]13r^2(2 rs + 4 r^3 - 3 s^4)[/tex] is correct option.
Answer:
Option 3rd is correct
[tex]13r^2(2rs+4r^3-3s^4)[/tex]
Step-by-step explanation:
GCF (Greatest common factor) is the largest number that divides the two number.
Factor [tex]26r^3s+52r^5-39r^2s^4[/tex]
Find the GCF of the given expression.
GCF of [tex]26r^3s[/tex], [tex]52r^5[/tex] and [tex]39r^2s^4[/tex] is, [tex]13r^2[/tex]
then;
[tex]13r^2(2rs+4r^3-3s^4)[/tex]
Therefore, the resulting expression is, [tex]13r^2(2rs+4r^3-3s^4)[/tex]
