Advanced Math practice question

Answer: A. (3x + 2)/x²

The common denominator is x². Rewrite 3/x as 3x/x². Then 3x/x² + 2/x² = (3x + 2)/x².

Why the other answers are wrong

B. 5/x³

5/x³ adds numerators and multiplies denominators. Use a common denominator instead.

C. 5/x²

5/x² adds the numerators without first rewriting 3/x over x². 3/x = 3x/x², not 3/x².

D. (3 + 2x)/x²

(3 + 2x)/x² attaches the extra x to the wrong term. It's 3/x that needs to be scaled by x.

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