What is the simplest equivalent form of this expression?

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step-by-step explanation:

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(x - 2)

here's your solution

=> 8x^2 - 8x - 16

=> taking 8 as common from whole we get,

=> 8(x^2 - x - 2)

=> x^2 - x - 2

=>. now by middle term split ,

factorize this

=>. x^2 - 2x + x - 2

=> taking common from each term

=>. x(x - 2) + 1(x -2)

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

=> hence your answer is

(x - 2)