X^4 - 1 (x - 1) (x + 1) (x + i) (x - i)

(x - 1) (x - 1) (x - i) (x - i)

(x - 1) (x + i)

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

9514 1404 393

  (a)  (x - 1) (x + 1) (x + i) (x - i)

Step-by-step explanation:

Perhaps you want the fully factored form.

The difference of squares is factored as ...

  a² -b² = (a -b)(a +b)

Your expression can be considered to be the difference of squares ...

  (x²)² -(1)² = (x² -1)(x² +1)

Each of these factors can be considered to be the difference of squares:

  x² -1 = (x -1)(x +1)

  x² +1 = x² -(i²) = (x -i)(x +i)

So, the fully factored form is ...

  x^4 -1 = (x -1)(x +1)(x -i)(x +i)

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: