Question

What is the product in simplest form? State any restrictions on the variable.

Answer 1

@Psymon

Answer 2

look at the denominators

what values can't z take

so solve z + 1 = 0

and the denominator or the other can be factorised to

z(z + 3) so z = 0 and solve x + 3 = 0

so these will be the restrictions

z = 0, and the solutions to z + 1 = 0 and z + 3 = 0

now factor the numerators

\[z^2 + 3z + 2 = (z + 1)(z + 3)\]

so your problem becomes

\[\frac{z^2 \times (z + 2)\times (z + 1)}{(z + 1) \times z \times(z + 3)}\]

cancel the common factors for the simplified answer