could someone help please

Question

Multiply or divide as indicated. Be sure to reduce all answers to lowest terms.
i have no idea how to multiply this! could someone help me please


(y2-9)/(3y2 -18y +27) • (2y2 -7y +3)/(y-3) • (3y-12)/(2y2-7y+3)

Answer 1

Well, well....we meet again! Morning Sunshine!!

 

We actually would NEVER want to multiply anything this big...too much work, right?! lol

So let's start by factoring each numerator and denominator and see what we can reduce first BEFORE we actually are forced to multiply anything......

 

Each numerator and denominator can be factored once EXCEPT this one 3y² - 18y + 27

Each term is a multiple of 3....so let's remove that....3(y² - 6y + 9)

Then we can factor it....which you will see below....

 

 

(y - 3)(y + 3)          (2y - 1)(y - 3)          3(y - 4)

----------------   •     ----------------     •   ----------------

3(y - 3)(y + 3)               (y - 3)               (2y - 1)(y - 3)

 

 

Now simply reduce.

 

I'm going to assume you can take it from here.

If you need more help with factoring, let me know.

 

SMILE!!!!