SOLUTION: Identify any excluded values. Then simplify the expression. 9x^2-3x over 27(3x-1)^2

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Question 189742This question is from textbook saxon algebra 2
: Identify any excluded values. Then simplify the expression.
9x^2-3x over 27(3x-1)^2 This question is from textbook saxon algebra 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2-3x over 27(3x-1)^2
:
%289x%5E2-3x%29%2F%2827%283x-1%29%5E2%29
:
Excluded values for x are those that cause the denominator to equal 0
27(3x-1)^2 = 0
which is
27(3x-1)(3x-1) = 0
we can ignore the 27 here
3x = +1
x = 1%2F3 is an excluded value
:
to simplify:
%289x%5E2-3x%29%2F%2827%283x-1%29%5E2%29 = 3x%283x-1%29%2F%2827%283x-1%29%5E2%29
cancel 3:
x%283x-1%29%2F%289%283x-1%29%5E2%29
Cancel(3x-1)
x%2F9%283x-1%29