Question

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

I hope this helped. I did everything in one step but u can definitely show more work

Answer 2

`(y(y+2))/(y+1)`

Step-by-step explanation:

We have been given the expression
`\frac{y^(2)} {y-3} *\frac{{y^(2)-y-6}} {y^2+y}`

We will factorise the expression

`y^2-y-6=(y+2)(y-3)` substituting this value in the given expression we will get

`(y^2)/(y-3)* ((y+2)(y-3))/(y(y+1))`

we can rewrite it as

`(y^2(y+2)(y-3))/(y(y-3)(y+1))`

Cancel out the common factor which is y and (y-3) we wil get

`(y(y+2))/(y+1)`

Therefore,
`(y(y+2))/(y+1)`