Mathematics
Factorise:
x3 - 125
Factorisation
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Answer
Given,
⇒ x3 - 125
⇒ (x)3 - (5)3
By using the identity,
a3 - b3 = (a - b)(a2 + ab + b2)
⇒ (x - 5)(x2 + x × 5 + 52)
⇒ (x - 5)(x2 + 5x + 25).
Hence, x3 - 125 = (x - 5)(x2 + 5x + 25).
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