SOLUTION: How do I simplify (12x²-5xy-2y²)/(4y²-4xy-3x²)?

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Question 118895This question is from textbook Algebra
: How do I simplify (12x²-5xy-2y²)/(4y²-4xy-3x²)? This question is from textbook Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2812x%5E2-5xy-2y%5E2%29%2F%284y%5E2-4xy-3x%5E2%29 Start with the given expression

%28%283x-2y%29%284x%2By%29%29%2F%284y%5E2-4xy-3x%5E2%29 Factor 12x%5E2-5xy-2y%5E2 to get %283x-2y%29%284x%2By%29

%28%283x-2y%29%284x%2By%29%29%2F%28%282y-3x%29%282y%2Bx%29%29 Factor 4y%5E2-4xy-3x%5E2 to get %282y-3x%29%282y%2Bx%29


%283x-2y%29%284x%2By%29%2F%282y-3x%29%282y%2Bx%29 Combine the fractions


-%282y-3x%29%284x%2By%29%2F%282y-3x%29%282y%2Bx%29 Factor out a negative 1


-cross%28%282y-3x%29%29%284x%2By%29%2Fcross%28%282y-3x%29%29%282y%2Bx%29 Cancel like terms


-%284x%2By%29%2F%282y%2Bx%29 Simplify



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Answer:

So %2812x%5E2-5xy-2y%5E2%29%2F%284y%5E2-4xy-3x%5E2%29 simplifies to -%284x%2By%29%2F%282y%2Bx%29. In other words %2812x%5E2-5xy-2y%5E2%29%2F%284y%5E2-4xy-3x%5E2%29=-%284x%2By%29%2F%282y%2Bx%29