Question

Simplify x-2/x^3-8

Answer 1

(x^4-8 x^3-2)/x^3

Answer 2

Hint: Factor the denominator.

Answer 3

can you show me how to factor denom

Answer 4

You will soon recognize certain binomials. the X^3 - 8 is one. It is known as the difference of two perfect cubes. Note that the x is cubed and the 2 is cubed.
The configuration has factors that you may eventually memorize. They are (x-2)(x^2+2x+4)

Answer 5

The general equation is:

\[x ^{3}-a ^{3}=(x-a)(x ^{2}+ax+a ^{2)}\]

Answer 6

In this problem the a^3 is the 2^3 (8)

Answer 7

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

Answer 8

Did you follow?

Answer 9

Yea

Answer 10

Now to solve your problem it was (I will draw)