Advanced MathEasy–MediumDifference of squares from a sum and a difference
Advanced Math practice question
The sum of two numbers is 9 and their difference is 3. What is the difference of the squares of the two numbers?
Answer: 27
The difference of squares factors as (sum)(difference): a² − b² = (a + b)(a − b) = 9 × 3 = 27. (The numbers are 6 and 3: 36 − 9 = 27.)
Common wrong answers
- If you answered 6
- 6 is 9 − 3, which is not the difference of the squares.
- If you answered 12
- 12 is the sum of 9 and 3, not their product.
- If you answered 81
- 81 is 9², the square of the sum.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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