16Hit1600
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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