Mathematics: What is the product? 2y 4-12 y-3 2y+ 6

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What is the product? 2y 4-12 y-3 2y+ 6 - id241232614409805, salvadorperez26

victorialeona81

22.09.2021

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

Step-by-step explanation:

Hi there!

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

Factor the second fraction:

$= \displaystyle \frac{2y}{y-3}*\frac{4(y-3)}{2(y+3)}$

Simplify:

$= \displaystyle \frac{2y}{y-3}*\frac{2(y-3)}{(y+3)}$

Multiply:

$= \displaystyle \frac{2y*2(y-3)}{(y-3)(y+3)}\\\\= \displaystyle \frac{4y(y-3)}{(y-3)(y+3)}$

Simplify:

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

I hope this helps!

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