Advanced MathMediumCoefficient of the cross term in a squared binomial
Advanced Math practice question
When (2x + 3y)² is expanded, what is the coefficient of the xy term?
Answer: 12
(2x + 3y)² = 4x² + 2(2x)(3y) + 9y² = 4x² + 12xy + 9y². The xy coefficient is 12.
Common wrong answers
- If you answered 4
- 4 is the coefficient of x².
- If you answered 6
- 6 is (2)(3), forgetting to double the cross term.
- If you answered 9
- 9 is the coefficient of y².
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