Factorisation of y⁴ - 81x⁴
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y⁴ - 81x⁴
= (y²)² - (9x²)² [using (a² - b²)=(a+b)(a-b)]
= (y² + 9x²)(y² - 9x²)
= (y² +9x²)( y² - (3x)²)
= (y² +9x²)(y + 3x)(y - 3x)
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