Divide: (a ⁸ − b 8⁸) ; a ² − b ²
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Answer:
(a⁴ + b⁴) ( a² + b²)
Step-by-step explanation:
a⁸ - b⁸ / a² - b²
= (a⁴)² - (b⁴)² / a² - b²
= (a⁴ + b⁴)(a⁴ - b⁴)/a² - b²
= (a⁴ + b⁴)((a²)² - (b²)²) / a² - b²
= (a⁴ + b⁴) ( a² + b²)(a² - b²) / a² - b²
= (a⁴ + b⁴) ( a² + b²)
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