Question

What is the product in simplest form? State any restrictions on the variable. z^2/z+1 * z^2+3Z+2/z^2+3z

Answer 1

(z^2/(z +1)) * (z^2 +3z +2)/(z^2 +3z)
= z^2*(z +2)(z +1)/((z +1)(z)(z +3))
= z(z +2)/(z +3)
= (z^2 +2z)/(z +3) . . . . . z not in {-3, -1, 0}