1.simplify. 2.simplify. 3.which statement best reflects the solution(s) of the equation?

Answer to question 1

We want to simplify

Let us change the middle bar to a normal division sign by rewriting the expression to obtain,

We now multiply the first fraction by the reciprocal of the second fraction to get,

We cancel out common factors to obtain,

We multiply out to obtain,

ANSWER TO QUESTION 2

We want to simplify,

Let us change the middle bar to a normal division sign by rewriting the expression to obtain,

We now multiply the first fraction by the reciprocal of the second fraction to get,

We now factor to obtain,

We now cancel out common factors to obtain,

We now multiply out to get,

ANSWER TO QUESTION 3

We want to solve the equation,

We need to multiply through by least common multiple of the denominators which is ,

But does not satisfy the equation. It will result in division by zero which is undefined. This is an extraneous solution.

Therefore is the only solution.

The correct answer is D.

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