U3 L4: Rational Expressions

What is the quotient in simplest form? State any restrictions on the variable. x+2/x-1 divided by x+4/x^2+4x-5

(x+2)(x+5)/(x+4) ; x does not equal 1, -4, -5

For the following expression, what are the restrictions for a? 2a^2+a-15/5a^2+16a+3

a does not equal -1/5, a does not equal -3

Simplify the rational expression. State any restrictions on the variable. q^2+11q+24/q^2-5q-24

q+8/q-8 ; q does not equal -3 and 8

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. Which expresses the ratio of the volume of the candle to its surface area (including the base)? For a cone, V=pie/3 r^2 and SA=pie r^2+pie r sqrt r^2+h^2

r(1-sqrt2)/-3

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

z^2+2z/z+3 ; z does not equal -1, 0, -3