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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