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

Answer:

$\frac{y(y+2)}{y+1}$

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

$\frac{y^2}{y-3}* \frac{(y+2)(y-3)}{y(y+1)}$

we can rewrite it as

$\frac{y^2(y+2)(y-3)}{y(y-3)(y+1)}$

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

$\frac{y(y+2)}{y+1}$  

Therefore, $\frac{y(y+2)}{y+1}$