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Factorise each of the following:(i) 27 y...

Factorise each of the following:(i) `27 y^3+125 z^3` (ii) `64 m^3-343 n^3`

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To factorise the given expressions, we will use the identities for the sum and difference of cubes. ### Part (i): Factorise \( 27y^3 + 125z^3 \) 1. **Identify the cubes**: - \( 27y^3 = (3y)^3 \) - \( 125z^3 = (5z)^3 \) ...
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