Mathematics
Factorise:
3a7b - 81a4b4
Factorisation
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Answer
Given,
⇒ 3a7b - 81a4b4
⇒ 3a4b(a3 - 27b3)
⇒ 3a4b[a3 - (3b)3]
⇒ 3a4b(a - 3b)[(a)2 + a × 3b + (3b)2]
⇒ 3a4b(a - 3b)(a2 + 3ab + 9b2).
Hence, 3a7b - 81a4b4 = 3a4b(a - 3b)(a2 + 3ab + 9b2).
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