Express the quotient in simplest form. x^2 - 4 / x^3 + 7x^2 divided by x^3 - x^2 - 6x/x^2 + 4x - 21

You must first transform into a multiplication and then factor to see what you can eliminate.

Explanation:

To transform a fractional division into a multiplication, you have to inverse the numerator and the denominator of the second fraction.

x2 - 4 x3 + 7 x2 * x2 + 4x-21 x3 - x2 - 6x

(x+2) (x-2) x2 (x+7) * (x+7) (x-3) x (x-3) (x+2)

Since aa = 1, a = all real numbers, we can proceed by eliminating factors that appear in the numerator and the denominator.

We are left with x-2 / x^3