Question

Factories the following polynomial.(x²-x)²-8(x²-x)+12​

Answer 1

Answer:

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(xsquare - x - 6)(xsquare -x-2)

Answer 2

Answer:

(x-3) (x+2) (x-2) (x+1)

Step-by-step explanation:

(x^2-x)^2 - 2 (x^2 -x) - 6(x^2 - x) + 12

(x^2-x) (x^2-x-2) - 6 (x^2-x-2)

((x^2-x)-6) (x^2-x-2)

(x^2 - x - 6) ( x^2 + x -2x - 2)

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

(x(x+2)-3(x+2)) (x-2) (x+1)

(x-3) (x+2) (x-2) (x+1)