Mathematics
Factorise:
125x3 + 1
Factorisation
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Answer
Given,
⇒ 125x3 + 1
⇒ (5x)3 + (1)3
By using the identity,
a3 + b3 = (a + b)(a2 - ab + b2)
⇒ (5x + 1)[(5x)2 - 5x × 1 + (1)2]
⇒ (5x + 1)(25x2 - 5x + 1)
Hence, 125x3 + 1 = (5x + 1)(25x2 - 5x + 1).
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