Mathematics
Factorise:
8a3 + 27b3
Factorisation
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Answer
Given,
⇒ 8a3 + 27b3
⇒ (2a)3 + (3b)3
By using the identity,
a3 + b3 = (a + b)(a2 - ab + b2)
⇒ (2a + 3b)[(2a)2 - 2a × 3b + (3b)2]
⇒ (2a + 3b)(4a2 - 6ab + 9b2)
Hence, 8a3 + 27b3 = (2a + 3b)(4a2 - 6ab + 9b2).
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