Question

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

Answer 1

Answer:

The answer is $\frac{4y}{y+3}$ ⇒ the 4th answer

Step-by-step 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

∵ $\frac{2y}{y-3}*\frac{4y-12}{2y+6}$

- We can simplify the second fraction at first

∵ $\frac{4y-12}{2y+6}=\frac{4(y-3)}{2(y+3}=\frac{2(y-3)}{y+3}$

- 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

∴ $\frac{2y}{1}*\frac{2(1)}{y+3}=\frac{4y}{y+3}$

* The answer is $\frac{4y}{y+3}$