Given is :
[tex]6(xy)(x-y)[/tex]
Applying the distributive law, [tex]a(b-c)=ab-ac[/tex]
a=6xy , b=x , c=y
=[tex]6(xy)x-6(xy)y[/tex]
= [tex]6x(xy)-6y(xy)[/tex]
= [tex]6xxy-6yxy[/tex]
Apply exponent rule: [tex]a^{b}.a^{c}=a^{b+c}[/tex]
[tex]yy=y^{1+1}=y^{2}[/tex]
=[tex]6x^{2}y-6xy^{2}[/tex]
So the simplified answer is [tex]6x^{2}y-6xy^{2}[/tex]
