Question

9x2 - 6xy Factorise Fully

Answer 1

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)