Question

What is the factoring quadratic expression for 27x^2-12=0

Answer 1

`27x^2-12=0\\ 3(9x^2-4)=0\\ 3(3x-2)(3x+2)=0\\ x=(2)/(3) \vee x=-(2)/(3)`

Answer 2

`27x^2-12=0\ /:3\\\\9x^2-4=0\ \ \ \Leftrightarrow\ \ \ (3x)^2-2^2=0\ \ \ \Leftrightarrow\ \ \ (3x-2)(3x+2)=0\\\\3x-2=0\ \ \ \ \ \ \ \ or\ \ \ \ \ \ 3x+2=0\\\\3x=2\ /:3\ \ \ \ \ \ \ or\ \ \ \ \ \ 3x=-2\ /:3\\\\x= (2)/(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ x=- (2)/(3)`