Question

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

Answer 1

Answer: The product of the above polynomials will be

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

Step-by-step explanation:

Since we have given that

$\frac{2y}{y-3}\times \frac{4y-12}{2y+6}$

We need to solve the product of two polynomials :

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

Hence, the product of the above polynomials will be

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

Answer 2

Answer:

The value of given expression is $\frac{4y}{y+3}$.

Step-by-step explanation:

The given expression is

$\frac{2y}{y-3}\times \frac{4y-12}{2y+6}$

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

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

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

$\frac{2y}{y-3}\times \frac{4y-12}{2y+6}=\frac{4y}{y+3}$

Therefore the value of given expression is $\frac{4y}{y+3}$.