Multiply and simplify. Hope I can write this and it will make sense to someone?

Question

36y^2/4y^2-8y+4 * 4y-4/6y

Please help solve this

Answer 1

I'm going to add parentheses to make it clear how I read the problem...

(36y^2)/(4y^2-8y+4) * (4y-4)/(6y)

Multiply the numerators and denominators....

((36y^2)(4y-4))/((4y^2-8y+4)(6y))

Now, factor the numerator

(6y)(6y)4(y-1)

and the denominator

4(y^2 - 2y + 1)(6y)

4(y-1)(y-1)6y

((6y)(6y)4(y-1))/(4(y-1)(y-1)6y)

Now, you can cancel like terms  (4, 6y and y-1) to get...

(6y)/(y-1)

Note that since you divided by 6y and y-1, you need to add the caveat that y <> 0 and y <> 1

So your final answer is....

(6y)/(y-1) where y<>0 and y <> 1

Answer 2

36y^2 / 4y^2 - 8y + 1 * 4y - 4 / 6y

9y^2 - 8y + 4y - 4/6y

9y^2 - 4y - 4/6y