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Factorise: m3+164m3 -

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Question

Factorise: `m^3 + 1/(64m^3)`

Sum

Solution

`m^3 + 1/(64m^3)`

`= m^3 + (1/(4m))^3`

`= (m + 1/(4m))[m^2 - m xx 1/(4m) + (1/(4m))^2]`

`= (m + 1/(4m))(m^2 - 1/4 + 1/(16m^2))`

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