SOLUTION: can you please help me answer: (((2x(2)+x-6 over 2x+4)))

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Question 152477This question is from textbook Algebra structure and method book 1
: can you please help me answer: (((2x(2)+x-6 over 2x+4))) This question is from textbook Algebra structure and method book 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: I'm assuming that 2x(2) means 2x%5E2. If you want to represent exponents, type 2x^2 to get 2x%5E2




%282x%5E2%2Bx-6%29%2F%282x%2B4%29 Start with the given expression.


%28%28x%2B2%29%282x-3%29%29%2F%282x%2B4%29 Factor 2x%5E2%2Bx-6 to get %28x%2B2%29%282x-3%29.


%28%28x%2B2%29%282x-3%29%29%2F%282%28x%2B2%29%29 Factor 2x%2B4 to get 2%28x%2B2%29.


%28highlight%28%28x%2B2%29%29%282x-3%29%29%2F%282highlight%28%28x%2B2%29%29%29 Highlight the common terms.


%28cross%28%28x%2B2%29%29%282x-3%29%29%2F%282cross%28%28x%2B2%29%29%29 Cancel out the common terms.


%282x-3%29%2F%282%29 Simplify.


So %282x%5E2%2Bx-6%29%2F%282x%2B4%29 simplifies to %282x-3%29%2F%282%29.


In other words, %282x%5E2%2Bx-6%29%2F%282x%2B4%29=%282x-3%29%2F%282%29 where x%3C%3E-2