What is the greatest common factor of the terms in the expression 21x-18x+28xy?


A.3


B.3x


C.x


D.xy

Verified Answer :

The answer i got was c because the letter x goes into each of them because they each have a x in them. It would be B but 3 doesnt go into 28.

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

\(21x-18x+28xy\)

The factors of each term are

\(21x=3\times 7\times x\)

\(18x=3\times 6\times x\)

\(28xy=2\times 2\times 7\times x\times y\)

The common factor is x.

\(G.C.F.=x\)

Therefore correct option is C.