Question

The greatest common factor of 15u2v3, 20u5v2, and 45u3v5 is

Answer 1

Hello here is a solution :
The greatest common factor of 15u2v3, 20u5v2, and 45u3v5 is : 5u²v²

Answer 2

Answer:
`5u^2v^2`

Explanation:

Given monomials :
`15u^2v^3, 20u^5v^2, 45u^3v^5`

We can rewrite the above monomials as product below :-

`15u^2v^3=5*3u^2v^3\\\\ 20u^5v^2=5u^5v^2*4\\\\45u^3v^5=5*9u^3v^5`

Therefore, the greatest common factor for numerical coefficients of monomials = 5

Also, the greatest common power of u =2

and the greatest common power of v = 2

Hence, the greatest common factor of
`15u^2v^3, 20u^5v^2, 45u^3v^5` is
`5u^2v^2`