Advanced MathMediumRecognising a perfect-square trinomial from a linear condition
Advanced Math practice question
If 2x + 3y = 12, what is the value of 4x² + 12xy + 9y²?
Answer: 144
4x² + 12xy + 9y² = (2x + 3y)² = 12² = 144.
Common wrong answers
- If you answered 12
- 12 is 2x + 3y itself.
- If you answered 24
- 24 is 2 × 12, not the square.
- If you answered 48
- 48 is 4 × 12, multiplying by the leading coefficient instead of squaring.
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