The LCM of a² - b² and a⁴ - b⁴ is ______?
- a⁴ + b⁴
- a⁴ - b⁴
- a² + b²
- None of these
Explanation
a² - b² = (a - b)(a + b)
a⁴ - b⁴ = (a² - b²)(a² + b²)
= (a - b)(a + b)(a² + b²)
The LCM is (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²)
= a⁴ - b⁴
Related MCQs
