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2021 AMC 10A Problem 9

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2021 AMC 10A Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 3 min · position P1-10

What is the least possible value of (xy−1)2+(x+y)2(xy-1)^2 + (x+y)^2 for real numbers xx and yy ?

  1. A)

    00

  2. B)

    14\frac{1}{4}

  3. C)

    12\frac{1}{2}

  4. D)

    11

  5. E)

    22

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