SOLUTION: Rational Expression: x^2 - 4/x divided by 4x - 8/x

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Question 97205: Rational Expression:
x^2 - 4/x divided by 4x - 8/x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2+-+4%29%2Fx%29%2F%28%284x+-+8%29%2Fx%29 Start with the given expression


%28%28x%5E2+-+4%29%2Fx%29%2A%28x%2F%284x+-+8%29%29 Multiply by the reciprocal


x%28x%5E2+-+4%29%2Fx%284x+-+8%29 Combine the fractions


cross%28x%29%28x%5E2+-+4%29%2Fcross%28x%29%284x+-+8%29 Cancel out like terms


%28x%5E2+-+4%29%2F%284x+-+8%29 Simplify


%28x%5E2+-+4%29%2F4%28x+-+2%29 Factor out the GCF


%28x%2B2%29%28x-2%29%2F4%28x+-+2%29 Factor



%28x%2B2%29cross%28x-2%29%2F%284%2Across%28x+-+2%29%29 Cancel out like terms


%28x%2B2%29%2F4 Simplify