Question

Simplify 6(x y) (x - y).

Answer 1

6x^2y-6xy^2 (^2 means squared)

Answer 2

Given is :

`6(xy)(x-y)`

Applying the distributive law,
`a(b-c)=ab-ac`

a=6xy , b=x , c=y

=
`6(xy)x-6(xy)y`

=
`6x(xy)-6y(xy)`

=
`6xxy-6yxy`

Apply exponent rule:
`a^(b).a^(c)=a^(b+c)`

`yy=y^(1+1)=y^(2)`

=
`6x^(2)y-6xy^(2)`

So the simplified answer is
`6x^(2)y-6xy^(2)`