factorize a⁴-81 b⁴
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a⁴-81b⁴
= (a²)² - (9b²)²
= (a²+9b²)(a²-9b²)
= (a²+9b²) (a²-(3b)²)
= (a²+9b²)(a+3b)(a-3b) } Answer
This question was based on the formula a²-b²=(a+b)(a-b)
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