16Hit1600
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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