Advanced MathMediumIsolating the cross term
Advanced Math practice question
Which expression is equivalent to (a + b)² − (a² + b²)?
- A. 2abCorrect
- B. ab
- C. 0
- D. 2a² + 2b²
Answer: A. 2ab
(a + b)² = a² + 2ab + b². Subtracting a² + b² leaves 2ab.
Why the other answers are wrong
- B. ab
- The cross term in (a + b)² is 2ab, not ab.
- C. 0
- (a + b)² is not the same as a² + b²; the difference is the cross term 2ab.
- D. 2a² + 2b²
- 2a² + 2b² adds the squares instead of cancelling them.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.