Question

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

Answer 1

The answer is
`(4y)/(y+3)` ⇒ the 4th answer

Explanation:

* Lets talk about the product of two fraction

- If we have two fraction a/b and c/d, the product of them

will be ac/bd

- The there is any simplify can do between numerator and

denominator we must to make it

Ex: 2a²/5b × 15b/4a, we can simplify 2a² with 4a at first and

simplify 15b with 5b and then put the answer

∵ 2a²/4a = a/2 ⇒ 2 ÷ 4 = 1/2 and a² ÷ a = a

∵ 15b/5b = 3 ⇒ 15 ÷ 5 = 3 and b ÷ b = 1

∴ 2a²/5b × 15b/4a = a/1 × 3/2 = 3a/2

* Now lets solve the problem

∵
`(2y)/(y-3)*(4y-12)/(2y+6)`

- We can simplify the second fraction at first

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

- At first we took 4 as a common factor from 4y - 12 ⇒ 4(y - 3)

and then simplify 4 with 2 in the denominator

- we can cancel the term x - 3 in the numerator of the second

fraction with the same term in the denominator of the first fraction

∴
`(2y)/(1)*(2(1))/(y+3)=(4y)/(y+3)`

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