Given:
[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]
To find:
The GCF of given expressions.
Solution:
The factor forms of given terms are:
[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]
[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]
Now, greatest common factor (GCF) of given terms is
[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]
[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]
So, the GCF of given terms is 9uy.
Therefore, the correct option is A.
