Question

The common factor of x2y2 and x3y3 is​

Answer 1

Answer:

we have to find :  common factor of $x^{2} y^{2}$ and $x^{3} y^{3}$

we know identities of  $x^{2} y^{2}$ and $x^{3} y^{3}$

 $x^{2} y^{2}$  = $( x + y ) (x - y )$

and ,  $x^{3} y^{3}$  =  $(x - y ) ( x^{2} + xy + y^{2} )$

common factor =  $( x - y )$

hence $( x - y )$ is the common factor.

Answer 2

Answer:

$x^{2} y^{2}$

Step-by-step explanation:

The given two monomials are $x^{2} y^{2}$ and $x^{3} y^{3}$.

Now, we have to find common factors of the given monomials.

On factorizing, we get

$x^{2} y^{2} = x*x*y*y$

$x^{3} y^{3} = x*x*x*y*y*y$

∴ As we can see clearly, Common factors of $x^{2} y^{2}$ and $x^{3} y^{3}$ are $x*x*y*y$

i.e. $x^{2} y^{2}$.