16Hit1600
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.

More Advanced Math questions

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