Mathematics
Factorise:
a3 - 0.064
Factorisation
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Answer
Given,
⇒ a3 - 0.064
⇒ (a)3 - (0.4)3
By using the identity,
(a3 - b3) = (a - b)(a2 + ab + b2)
⇒ (a - 0.4)[a2 + 0.4a + (0.4)2]
⇒ (a - 0.4)(a2 + 0.4a + 0.16).
Hence, a3 - 0.064 = (a - 0.4)(a2 + 0.4a + 0.16).
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