SOLUTION: Describe and correct the error 1. https://ibb.co/dPcVGa 2. https://ibb.co/fCphUv thanks for the help

Algebra ->  Rational-functions -> SOLUTION: Describe and correct the error 1. https://ibb.co/dPcVGa 2. https://ibb.co/fCphUv thanks for the help      Log On


   

Question 1090043: Describe and correct the error
1. https://ibb.co/dPcVGa
2. https://ibb.co/fCphUv
thanks for the help
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.

=> error; you cannot simplify like that
first find common denominator and add fractions






%28%28x%2B2%29%5E2%2B+%28x-3%29%5E2%29%282x%2B5%29%29%2F%28%28x-3%29%28x%2B2%29%283x-1%29%29

%28%282x%5E2+-+2x+%2B+13%29%282x%2B5%29%29%2F%28%28x-3%29%28x%2B2%29%283x-1%29%29

2.
%28x%2B7%29%2F7x%2B7%2F%28x-7%29
%28x%2B7%2B7%29%2F%287x%2Bx-7%29 => error; should find common denominator for 7x and %28x-7%29 and it is 7x+%28x-7%29
so, you should have:
%28%28x%2B7%29%28x-7%29%29%2F%287x%28x-7%29%29%2B%287%2A7x%29%2F%287x%28x-7%29%29
%28x%5E2+-+49%2B49x%29%2F%287x%28x-7%29%29
%28x%5E2%2B49x-49%29%2F%287x%28x-7%29%29