SOLUTION: What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the quantity of x plus 5?

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Question 1119619: What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the quantity of x plus 5?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the quantity of x plus 5?
Assuming you mean
%28x%2B4%29%2F%287%29-%28x%2B3%29%2F%28x%2B5%29
the common denominator will be 7(x+5)
%28%28x%2B5%29%28x%2B4%29-7%28x%2B3%29%29%2F7%28x%2B5%29
FOIL. distribute the 7
%28%28x%5E2+%2B+9x+%2B+20+-+7x+-+21%29%29%2F7%28x%2B5%29
Combine like terms
%28x%5E2+%2B+2x+-+1%29%2F7%28x%2B5%29 or %28x%5E2+%2B+2x+-+1%29%2F%287x%2B35%29