Advanced MathHardDifference of two squared radical binomials
Advanced Math practice question
For x > 0, which expression is equivalent to (√x + 1)² − (√x − 1)²?
- A. 4√xCorrect
- B. 2
- C. 4x
- D. 2√x
Answer: A. 4√x
(x + 2√x + 1) − (x − 2√x + 1) = 4√x.
Why the other answers are wrong
- B. 2
- The constants cancel; the middle terms do not.
- C. 4x
- The x terms cancel.
- D. 2√x
- The middle terms add to 4√x, not 2√x.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.