Question

1. Factorise: (x2 - x )2 - 8(x2 - x)+ 12​

Answer 1

Answer:

The polynomial is

(x2−x)2−8(x2−x)+12

y=(x2−x)

Then the polynomial becomes,

y2−8y+12

=y2−6y−2y+12

=y(y−6)−2(y−6)

=(y−2)(y−6

=(x2−x−2)(x2−x−6)

Now both factors can be further factorized,

(x2−2x+x−2)(x2−3x+2x−6

={x(x−2)+1(x−2)}{x(x−3)+2(x−3)}

=(x+1)(x−2)(x+2)(x−3)

Please mark as Brainliest if it is correct.

Step-by-step explanation: