Question

Please help and explain the steps you took. Thank you.

What is the product in simplest form? State any restrictions on the variable. Please show your work. y^2/y-3 * y^2 - y-6/y^2 + y

Answer 1

`Domain:\\y-3\\eq0\ \wedge\ y^2+y\\eq0\\\\y\\eq3\ \wedge\ y(y+1)\\eq0\\\\y\\eq3\ \wedge\ y\\eq0\ \wedge\ y\\eq-1`

`(y^2)/(y-3)\cdot(y^2-y-6)/(y^2+y)=(y^2)/(y-3)\cdot(y^2-3y+2y-6)/(y(y+1))\\\\=(y)/(y-3)\cdot(y(y-3)+2(y-3))/(y+1)=(y)/(y-3)\cdot((y-3)(y+2))/(y+1)\\\\=(y)/(1)\cdot(y+2)/(y+1)=(y(y+2))/(1(y+1))=(y^2+2y)/(y+1)`