16Hit1600
Advanced MathHardCoefficient of a mixed term in a binomial cube

Advanced Math practice question

When (x + y)³ is expanded, what is the coefficient of the x²y term?

Answer: 3

(x + y)³ = x³ + 3x²y + 3xy² + y³. The coefficient of x²y is 3.

Common wrong answers

If you answered 1
1 forgets that the x²y term arises three ways.
If you answered 2
2 comes from treating the cube as a square.
If you answered 6
6 doubles the coefficient, or counts x²y and xy² together.

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