how do i reduce [(x^2-2x+1)/(x^2)]/[(x^2+x-2)/(3x^2+3)]

Question

i cant figure it out and i find myself with a migrane trying to simplify and reduce it

Answer 1

you have to first factorise the qudratic expressions

(x^2-2x+1)=(x-1)(x-1)

[(x^2+x-2)=(x+2)(x-1)

thus we now have

[(x-1)(x-1)/(x^2)]*[(3x^2+3)/(x+2)(x-1)

then [3(x^2 +1)(x-1)]/[x^2 *(x+2)]

i think it cant be simplified futher