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2020 AMC 10A Problem 14

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2020 AMC 10A Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 3 of 5 · about 5 min · position P11-15

Real numbers xx and yy satisfy x+y=4x + y = 4 and x⋅y=−2x \cdot y = -2 . What is the value of x+x3y2+y3x2+y?x + \frac{x^3}{y^2} + \frac{y^3}{x^2} + y?

  1. A)

    360360

  2. B)

    400400

  3. C)

    420420

  4. D)

    440440

  5. E)

    480480

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