How do you factor 3x^2+6x-93x2+6x9?

1 Answer

Refer to explanation

Explanation:

We have that

3x^2+6x-9=3*(x^2+2x+1)-9-3=3*(x+1)^2-12=(sqrt3*(x+1))^2-(sqrt12)^2=(sqrt3*(x+1)+2sqrt3)*(sqrt3*(x+1)-2sqrt3)=sqrt3*(x+3)*sqrt3(x-1)=3(x+3)(x-1)

Finally

3x^2+6x-9=3(x+3)(x-1)