Mathematics
Factorise:
x3 + 64
Factorisation
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Answer
Given,
⇒ x3 + 64
⇒ (x)3 + (4)3
By using the identity,
a3 + b3 = (a + b)(a2 - ab + b2)
⇒ (x + 4)(x2 - x × 4 + 42)
⇒ (x + 4)(x2 - 4x + 16)
Hence, x3 + 64 = (x + 4)(x2 - 4x + 16).
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