Question

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

Answer 1

`\frac { 4y } { y + 3 }`

Explanation:

We are given the following terms and we are to find their product:

`\frac { 2y } { y - 3 } * \frac { 4y - 12 } { 2y + 6 }`

`\frac { 8y^2 - 24y } { 2y^2 - 6y + 6y - 18 }`

Taking the common terms out and cancelling them to get:

`\frac { 2 (4y^2 - 12y ) } { 2 (y^2 - 9 ) }`

`\frac { 4y ( y - 3 ) } { ( y + 3 ) ( y - 3 ) }`

`\frac { 4y } { y + 3 }`

Answer 2

The answer is
`(4y)/(y+3)`

Explanation:

See the attached figure