Answer: 5ab
Step-by-step explanation:
The given polynomial : [tex]5ab^2+10ab[/tex]
The prime factorization of [tex]5ab^2= 5\times a\times b\times b[/tex]
The prime factorization of [tex]10ab= 5\times2\times a\times b[/tex]
We can see that the greatest common factor of [tex]5ab^2\text{ and }10ab[/tex] is [tex]5\times a\times b[/tex]
Hence, the greatest common factor of [tex]5ab^2+10ab[/tex] = 5ab
