SOLUTION: Please help multiply and simplify (25c^2/3c^2-18c+27) * (3c-9/5c) = ?

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Question 227103: Please help multiply and simplify
(25c^2/3c^2-18c+27) * (3c-9/5c) = ?
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
Well first we need to factor these expressions as much as possible.

25c^2 = 5c(5c)
3c^2-18c+27 = 3(c^2-6c+9) = 3(c-3)(c-3)
3c-9 = 3(c-3)

so plugging back in we get:

(25c^2/3c^2-18c+27) * (3c-9/5c) = 5c(5c)/3(c-3)(c-3) * 3(c-3)/5c

Now we simplify as much as we can before we multiply.

the 5c on top can cross with the 5c on bottom. The 3(c-3) on the bottom can cross with the 3(c-3) on the top.

This will leave us with the final answer of 5c%2F%28c-3%29