Question

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

Answer 1

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.

x2−4x3+7x2×x2+4x−21x3−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