SAT Math

Category - Algebra and Functions

If x = 3 and y = − 1, what is the value of x^2⊠y^2, where x⊠y = x + y − xy?
  1. - 1
  2. 0
  3. 1
  4. 2
  5. 3
Explanation
Answer: C - The value of x^2⊠y^2 is 1. Calculate x^2 = 3^2 = 9 and y^2 = ( − 1)^2 = 1 and substitute in x^2⊠y^2 = x^2 + y^2 − x^2 y^2 = 9 + 1 − 9 × 1 = 10 − 9 = 1.
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