Question

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Answer 1

Answer:
First choice is the correct one

Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.

Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
                                                 = [x(x+5)-(x+1)] / [x(x+2)]
                                                 = (x^2 + 5x - x - 1) / [x(x+2)]
                                                 = [(x^2 + 4x - 1)] / [x(x+2)]

Hope this helps :)