SOLUTION: Please help me simplify. x^2+6x-27/3-x. The book says the answer is -(x+9)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me simplify. x^2+6x-27/3-x. The book says the answer is -(x+9)      Log On


   

Question 125722: Please help me simplify.
x^2+6x-27/3-x. The book says the answer is -(x+9)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2B6x-27%29%2F%283-x%29 Start with the given expression

%28%28x%2B9%29%28x-3%29%29%2F%283-x%29 Factor x%5E2%2B6x-27 to get %28x%2B9%29%28x-3%29 (note: if you need help with factoring, check out this solver)

%28%28x%2B9%29%28x-3%29%29%2F%28-%28x-3%29%29 Factor out a negative one from 3-x to get -%28x-3%29


%28%28x%2B9%29cross%28%28x-3%29%29%29%2F%28-cross%28%28x-3%29%29%29 Cancel like terms


-%28x%2B9%29 Simplify


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Answer:

So %28x%5E2%2B6x-27%29%2F%283-x%29 simplifies to -%28x%2B9%29. In other words %28x%5E2%2B6x-27%29%2F%283-x%29=-%28x%2B9%29