Advanced MathMediumCoefficient after squaring a monomial
Advanced Math practice question
For all x, (3x)² − 3x² = kx², where k is a constant. What is the value of k?
Answer: 6
(3x)² = 9x², and 9x² − 3x² = 6x². So k = 6.
Common wrong answers
- If you answered 0
- 0 treats (3x)² as 3x².
- If you answered 3
- 3 comes from (3x)² = 6x², doubling instead of squaring the 3.
- If you answered 9
- 9 forgets to subtract the 3x².
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