Question
Factorise:
81x4 - y4

Answer

81x4 - y4
= (9x2)2 - (y2)2
= (9x2 - y2)(9x2 + y2)
= [(3x)2 - y2](9x2 + y2)
= (3x - y)(3x + y)(9x2 + y2)

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