Question

What is the product? 2y/y-3 x 4y-12/2y+6

Answer 1

The value of given expression is
`(4y)/(y+3)`.

Explanation:

The given expression is

`(2y)/(y-3)* (4y-12)/(2y+6)`

`(2y)/(y-3)* (4y-12)/(2y+6)=(2y* (4y-12))/((y-3)* (2y+6))`

`(2y)/(y-3)* (4y-12)/(2y+6)=(2y* 4* (y-3)))/((y-3)* 2* (y+6))`

Cancel out the common factor (y-3) and 2.

`(2y)/(y-3)* (4y-12)/(2y+6)=(4y)/(y+3)`

Therefore the value of given expression is
`(4y)/(y+3)`.

Answer 2

Answer: The product of the above polynomials will be

`(4y)/(y+3)`

Explanation:

Since we have given that

`(2y)/(y-3)* (4y-12)/(2y+6)`

We need to solve the product of two polynomials :

`(2y)/(y-3)* (4y-12)/(2y+6)\\\\=(2y)/(y-3)* (4(y-3))/(2(y+3))\\\\=(4y)/(y+3)`

Hence, the product of the above polynomials will be

`(4y)/(y+3)`