Question

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

Answer 1

try factoring each term as much as possible.

Answer 2

is it y + 2/y + 1 y+ 3, -1

Answer 3

tomo is right

factoring gives
\[\frac{ y^2 }{ y-3} * \frac{ (y+2)(y+3) }{ y(y+1) }\]

multiplying across gives
\[\frac{ y^2(y+2)(y-3) }{ y(y-3)(y+1) }\]
now cancel the (y-3)'s and one y from both the numerator and denominator
this gives the final simplest form
\[\frac{ y(y+2) }{ (y+1) }\]

because division by zero is undefined (and x = -1 causes the denominator to equal 0)
the domain must be restricted to \[(-\infty,-1) \cup (-1,\infty)\] (all real numbers except -1)

Answer 4

oops. the first equation should say (y-3), not y+3