Question

What are the common factors of ​$3x^{3}y,5x{y}^{2}and15xy?$

• A. $x,y,xy,x{y}^2,x^{3}y$
• B. $x,y,xy,x^{2}y$
• C. $x,y,xy$
• D. $xy,x^{2}y,x{y}^2$

Answer 1

The correct option is C

$x,y,xy$

We can write the given terms as follows
$3x^{3}y=3\times x\times x\times x\times y$
$5x{y}^2=5\times x\times y\times y$
$15xy=15\times x\times y$
The common irreducible factors in all three terms are x and y.
So, the common factors of the given expressions are x, y and xy.