Advanced MathMediumNumeric product that equals a difference of fourth powers
Advanced Math practice question
What is the value of (10² − 9²)(10² + 9²)?
Answer: 3439
(10² − 9²)(10² + 9²) = 10⁴ − 9⁴ = 10,000 − 6,561 = 3,439. (Or 19 × 181.)
Common wrong answers
- If you answered 361
- 361 is 19², squaring the first factor.
- If you answered 3419
- 3,419 is an arithmetic slip in 19 × 181.
- If you answered 16561
- 16,561 adds the fourth powers instead of subtracting.
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