Respuesta :

Answer:

A. 2x - 1

Step-by-step explanation:

We want the price of each notebook, so we will get this equation.

(4x^2 + 2x + 1) / (8x^3 - 1)   [ The " / " sign means I wrote as a fraction. ]

After that, we will use this method to factor ( 8x^3 - 1 ).

a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )

1 can be wrote as 1^3 as we still get the same answer.

8^3 - 1^3 = ( 2x - 1 )( 4x^2 + 2x + 1)

So, we will get this.

(4x^2 + 2x + 1) / ( 2x - 1 )( 4x^2 + 2x + 1)

Now, we can cross out the ( 4x^2 + 2x + 1 ).

We will be left with 1 / ( 2x - 1 ).

Flip it and we will get ( 2x - 1 )

And that is the answer.

I hope it helps.

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