SOLUTION: Multiply and simplify. 49^2/5x^2-20x+20 * 5x-10/7x

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Multiply and simplify. 49^2/5x^2-20x+20 * 5x-10/7x       Log On

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Question 133005: Multiply and simplify.
49^2/5x^2-20x+20 * 5x-10/7x

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%28%2849x%5E2%29%2F%285x%5E2-20x%2B20%29%29%28%285x-10%29%2F%287x%29%29 Start with the given expression

%28%28%287%2A7%29%28x%2Ax%29%29%2F%285x%5E2-20x%2B20%29%29%28%285x-10%29%2F%287x%29%29 Factor 49x%5E2 to get 7%2A7%28x%2Ax%29

%28%28%287%2A7%29%28x%2Ax%29%29%2F%285%28x-2%29%28x-2%29%29%29%28%285x-10%29%2F%287x%29%29 Factor 5x%5E2-20x%2B20 to get 5%28x-2%29%28x-2%29

%28%28%287%2A7%29%28x%2Ax%29%29%2F%285%28x-2%29%28x-2%29%29%29%28%285%28x-2%29%29%2F%287x%29%29 Factor 5x-10 to get 5%28x-2%29




%287%2A7%29%28x%2Ax%295%28x-2%29%2F5%28x-2%29%28x-2%297x Combine the fractions


%28cross%287%29%2A7%29%28cross%28x%29%2Ax%29cross%285%29cross%28%28x-2%29%29%2Fcross%285%29cross%28%28x-2%29%29%28x-2%29cross%287%29cross%28x%29 Combine the fractions


7x%2F%28x-2%29 Simplify



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Answer:

So %28%2849x%5E2%29%2F%285x%5E2-20x%2B20%29%29%28%285x-10%29%2F%287x%29%29 simplifies to 7x%2F%28x-2%29. In other words %28%2849x%5E2%29%2F%285x%5E2-20x%2B20%29%29%28%285x-10%29%2F%287x%29%29=7x%2F%28x-2%29