Advanced MathHardSum of squares from a squared difference and a product
Advanced Math practice question
If (x − y)² = 9 and xy = 10, what is the value of x² + y²?
Answer: 29
(x − y)² = x² − 2xy + y², so x² + y² = (x − y)² + 2xy = 9 + 20 = 29.
Common wrong answers
- If you answered 19
- 19 adds xy once instead of twice.
- If you answered 49
- 49 is (x + y)², which is 9 + 4(10).
- If you answered -11
- −11 subtracts 2xy instead of adding.
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