Advanced MathEasy–MediumCross term from the square of a sum
Advanced Math practice question
If x = 5 and y = 2, what is the value of (x + y)² − (x² + y²)?
Answer: 20
(x + y)² − (x² + y²) = 2xy = 2(5)(2) = 20. (Directly: 49 − 29 = 20.)
Common wrong answers
- If you answered 0
- 0 assumes (x + y)² = x² + y².
- If you answered 10
- 10 is xy, counting the cross term once.
- If you answered 49
- 49 is (x + y)² alone.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.