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Syllabus

Factorise: a3-1a3 -

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Question

Factorise: `a^3 - 1/(a^3)`

Sum

Solution

`a^3 - 1/(a^3)`

`= (a - 1/a)(a^2 + 1 + 1/(a^2))`

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Factorisation using Identity a3 - b3 = (a - b)(a2 + ab + b2)
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