9x2 - 6xy

Factorise Fully

Remember distributive property, but reverse it

ab-ac=a (b-c)

a is a common factor

find common factors

factor each

9x^2=3*3*x*x

6xy=2*3*x*y

common factor is 3*x or 3x

9x^2-6xy=3x (3x) - 3x (2y) = 3x (3x-2y)

factored form is 3x (3x-2y)