SOLUTION: Divide and Simplify V^2-4/25v+50 divided by v-2/10 I know that I have to divide by the reciprical but then what??

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Question 132407: Divide and Simplify
V^2-4/25v+50 divided by v-2/10
I know that I have to divide by the reciprical but then what??
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28v%5E2-4%29%2F%2825v%2B50%29%29%2F%28%28v-2%29%2F%2810%29%29 Start with the given expression

%28%28v%5E2-4%29%2F%2825v%2B50%29%29%2A%28%2810%29%2F%28v-2%29%29 Multiply the first fraction by the reciprocal of the second fraction


%28%28%28v%2B2%29%28v-2%29%29%2F%2825v%2B50%29%29%28%2810%29%2F%28v-2%29%29 Factor v%5E2-4 to get %28v%2B2%29%28v-2%29

%28%28%28v%2B2%29%28v-2%29%29%2F%2825%28v%2B2%29%29%29%28%2810%29%2F%28v-2%29%29 Factor 25v%2B50 to get 25%28v%2B2%29


10%28v%2B2%29%28v-2%29%2F25%28v%2B2%29%28v-2%29 Combine the fractions


10cross%28%28v%2B2%29%29cross%28%28v-2%29%29%2F25cross%28%28v%2B2%29%29cross%28%28v-2%29%29 Cancel like terms


10%2F25 Simplify


2%2F5 Reduce



So %28%28v%5E2-4%29%2F%2825v%2B50%29%29%2F%28%28v-2%29%2F%2810%29%29 simplifies to 2%2F5


In other words, %28%28v%5E2-4%29%2F%2825v%2B50%29%29%2F%28%28v-2%29%2F%2810%29%29=2%2F5