16Hit1600
Advanced MathVery hardSimplifying a difference over x

Advanced Math practice question

For x ≠ 0, the expression ((x + 1)² − 1)/x is equivalent to x + k, where k is a constant. What is the value of k?

Answer: 2

(x + 1)² − 1 = x² + 2x = x(x + 2), so dividing by x leaves x + 2.

Common wrong answers

If you answered 0
0 cancels the 1s without expanding.
If you answered 1
1 copies the 1 in (x + 1).
If you answered -2
−2 has the sign wrong.

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